feedback7 R22-LOADOUT: the data carries every potential (潜能 1–6), not only full potential; golden: unchanged

Potential becomes a per-player setting (the owner's decision of 2026-10-08: 「调配干员里自己设置吧，默认满潜满加成」;
official: 调度手册 「卫戍协议中干员潜能由自身已持有干员潜能决定」). 0.2.1 baked full potential into the data (§26.14).

- tools/build-data.mjs runs the chess / backups / tokens builders once per potential rank (ctx.potRank, 0–5) and keeps
  the full-potential build annotated with what each lower rank changes: `potDown` { rank: { dotted.path: value } } on
  chess records, backups.json forms and token variants (stats, statsBase; 望's 棋子 deployLimit / deckStack, 多萝西's
  共振装置 count), and chained talent entries (`potMin` / `potBelow`: the candidates by requiredPotentialRank, the
  fields a lower rank changes) in talents / talentsBase / modules[].talentChanges / variant talents. A self-check proves
  shared/potential.js atRank rebuilds every rank exactly; the unit-form parity runs at every rank.
- shared/potential.js (new): atPotential / atRank, talentAtRank, stripPotential, and the 练度 helpers used next
  (cultivateMul from the effects.json CHAR_MAP records aceffect_char_1…4, cultivationOf, cultivatedStats).
- composeTalents / composeUnitRecord return potential-resolved lists (no chains): a composed record is built at one
  potential (its form resolved first).
- JSON compare: the new chess / backups / tokens minus the annotations equal the old files byte for byte; every other
  data file identical; data/i18n/* rebuilt (the chained talent texts translated at the old rates: en 95.4 %, ja 95.2 %,
  ko 95.2 %, zh-TW 90 %). Data 5.21 → 5.51 MB.
- Docs: DATA.md §2.3 (new), §2, §7, §14, §16, §18; research/03-operators.md; kits/README.md.
- Tests: test/potential.test.js (new, 7): every chess and 自选 form at every potential = the raw keyframes plus the
  potential steps up to it, every talent = the last candidate with requiredPotentialRank ≤ the rank, 刺玫 at each
  potential, summons at the owner's potential (Mon3tr 3 s / 1200, 望's 棋子 6 / 7, “小自在” 15), the 练度 table =
  cultivateEffectList; data.test.js compares the composed talents without annotations.

data/backups.json

@@ -1 +1 @@
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data/chess.json

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data/i18n/ko.json

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+{"token_10000_silent_healrb":{"tokenId":"token_10000_silent_healrb","kind":"summon","name":"医疗探机","appellation":"Medical Drone","desc":"不会受到攻击，恢复周围友方单位的生命","descRaw":"不会受到攻击，恢复周围友方单位的生命","profession":"TOKEN","subProfessionId":"notchar1","position":"ALL","displayType":"DEFAULT","placeable":true,"ownerRange":false,"owners":["chess_char_2_02_a","chess_char_2_02_b"],"stats":{"maxHp":1000,"atk":85,"def":0,"res":0,"cost":5,"blockCnt":0,"bat":0.5,"aspd":100,"respawnTime":5,"spRecovery":1,"hpRecoveryPerSec":0,"moveSpeed":1,"tauntLevel":0,"massLevel":0,"deployLimit":1,"deckStack":0},"rangeGrid":[[1,-1],[1,0],[1,1],[0,-1],[0,0],[0,1],[-1,-1],[-1,0],[-1,1]],"dmgType":"heal","attackKind":"heal","projectile":"orb","canHitFly":false,"skill":{"skillId":"skcom_withdraw","bb":{}},"deployLimit":1,"count":1,"abnormal":[],"variants":{"chess_char_2_02_a":{"phase":1,"level":60,"stats":{"maxHp":1000,"atk":85,"def":0,"res":0,"cost":5,"blockCnt":0,"bat":0.5,"aspd":100,"respawnTime":5,"spRecovery":1,"hpRecoveryPerSec":0,"moveSpeed":1,"tauntLevel":0,"massLevel":0,"deployLimit":1,"deckStack":0},"immunities":{"stun":false,"silence":false,"sleep":false,"frozen":false,"levitate":false},"rangeGrid":[[1,-1],[1,0],[1,1],[0,-1],[0,0],[0,1],[-1,-1],[-1,0],[-1,1]],"trait":{"desc":"不会受到攻击，恢复周围友方单位的生命","descRaw":"不会受到攻击，恢复周围友方单位的生命","bb":{},"bbStr":{}},"dmgType":"heal","attackKind":"heal","projectile":"orb","canHitFly":false,"targetPriority":null,"skill":{"skillId":"skcom_withdraw","iconId":"skcom_withdraw","name":"自我销毁","level":1,"desc":"10秒后自动销毁","descRaw":"<@ba.vup>10</>秒后自动销毁","skillType":"PASSIVE","durationType":"NONE","duration":10,"spType":"ON_DEPLOY","spCost":0,"initSp":0,"maxChargeTime":0,"increment":0,"bb":{},"bbStr":{},"rangeId":null,"rangeGrid":null,"prefabId":"skcom_withdraw","trigger":{"rule":"DEFAULT","rawRule":"DEFAULT","customRangeGrid":null},"index":1},"talents":[],"count":1,"sources":["skill","display"],"bySkill":{"0":{"skill":{"skillId":"skcom_withdraw","iconId":"skcom_withdraw","name":"自我销毁","level":1,"desc":"10秒后自动销毁","descRaw":"<@ba.vup>10</>秒后自动销毁","skillType":"PASSIVE","durationType":"NONE","duration":10,"spType":"ON_DEPLOY","spCost":0,"initSp":0,"maxChargeTime":0,"increment":0,"bb":{},"bbStr":{},"rangeId":null,"rangeGrid":null,"prefabId":"skcom_withdraw","trigger":{"rule":"DEFAULT","rawRule":"DEFAULT","customRangeGrid":null},"index":0},"count":null,"sources":["display"]}}},"chess_char_2_02_b":{"phase":2,"level":55,"stats":{"maxHp":1000,"atk":114,"def":0,"res":0,"cost":5,"blockCnt":0,"bat":0.5,"aspd":100,"respawnTime":5,"spRecovery":1,"hpRecoveryPerSec":0,"moveSpeed":1,"tauntLevel":0,"massLevel":0,"deployLimit":1,"deckStack":0},"immunities":{"stun":false,"silence":false,"sleep":false,"frozen":false,"levitate":false},"rangeGrid":[[1,-1],[1,0],[1,1],[0,-1],[0,0],[0,1],[-1,-1],[-1,0],[-1,1]],"trait":{"desc":"不会受到攻击，恢复周围友方单位的生命","descRaw":"不会受到攻击，恢复周围友方单位的生命","bb":{},"bbStr":{}},"dmgType":"heal","attackKind":"heal","projectile":"orb","canHitFly":false,"targetPriority":null,"skill":{"skillId":"skcom_withdraw","iconId":"skcom_withdraw","name":"自我销毁","level":1,"desc":"10秒后自动销毁","descRaw":"<@ba.vup>10</>秒后自动销毁","skillType":"PASSIVE","durationType":"NONE","duration":10,"spType":"ON_DEPLOY","spCost":0,"initSp":0,"maxChargeTime":0,"increment":0,"bb":{},"bbStr":{},"rangeId":null,"rangeGrid":null,"prefabId":"skcom_withdraw","trigger":{"rule":"DEFAULT","rawRule":"DEFAULT","customRangeGrid":null},"index":1},"talents":[],"count":1,"sources":["skill","display"],"bySkill":{"0":{"skill":{"skillId":"skcom_withdraw","iconId":"skcom_withdraw","name":"自我销毁","level":1,"desc":"10秒后自动销毁","descRaw":"<@ba.vup>10</>秒后自动销毁","skillType":"PASSIVE","durationType":"NONE","duration":10,"spType":"ON_DEPLOY","spCost":0,"initSp":0,"maxChargeTime":0,"increment":0,"bb":{},"bbStr":{},"rangeId":null,"rangeGrid":null,"prefabId":"skcom_withdraw","trigger":{"rule":"DEFAULT","rawRule":"DEFAULT","customRangeGrid":null},"index":0},"count":null,"sources":["display"]}},"byModule":{"none":{"stats":{"maxHp":1000,"atk":114,"def":0,"res":0,"cost":5,"blockCnt":0,"bat":0.5,"aspd":100,"respawnTime":5,"spRecovery":1,"hpRecoveryPerSec":0,"moveSpeed":1,"tauntLevel":0,"massLevel":0,"deployLimit":1,"deckStack":0},"immunities":{"stun":false,"silence":false,"sleep":false,"frozen":false,"levitate":false},"trait":{"desc":"不会受到攻击，恢复周围友方单位的生命","descRaw":"不会受到攻击，恢复周围友方单位的生命","bb":{},"bbStr":{}},"talents":[]}}}},"assets":{"avatar":"token_10000_silent_healrb","spine":"token_10000_silent_healrb"}},"token_10006_vodfox_doll":{"tokenId":"token_10006_vodfox_doll","kind":"summon"Line truncated

docs/DATA.md

@@ -161,7 +161,7 @@ Top level: `{ season, seasonName, modes, economy, lpCapPerRound, bossOvertimeAft
 | `price`, `sellPrice` | `2`, `1` | |
 | `upgradeNum`, `upgradeChessId` | `3`, `"chess_char_1_01_b"` | copies needed to merge (风丸 2; golden 0) |
 | `status` | `{"phase":2,"level":50,"skillLevel":7,"equipLevel":1}` | training status used for all numbers |
-| `stats` | `{"maxHp":1421,"atk":531,"def":167,"res":0,"cost":12,"blockCnt":1,"bat":1,"aspd":100,"respawnTime":70,"spRecovery":1,"hpRecoveryPerSec":0,"moveSpeed":1,"tauntLevel":0,"massLevel":0,"deployLimit":1,"deckStack":0}` | keyframes linearly interpolated at `status` **plus every potential attribute modifier** (full potential, 潜能 6: character_table `potentialRanks` 1–5 — 「攻击力+N」, 「部署费用-1」, 「再部署时间-N秒」, 生命 / 防御 / 法抗 / 攻速 — added to the raw values; the owner's decision of 2026-10-07, GitHub #252 / PR #255: the official records carry no potential, a tournament video shows 刺玫 at ATK 435 / cost 15 = her E1 Lv55 413 / 17 + 攻击力+22 and two 部署费用-1; `tools/build-data.mjs OPERATOR_POTENTIAL`), hp/atk/def/cost/block/respawn rounded; **golden includes the module attribute bonus**. `aspd` 100 = base (module attack_speed added). Talent stat boosts are NOT folded in. |
+| `stats` | `{"maxHp":1421,"atk":531,"def":167,"res":0,"cost":12,"blockCnt":1,"bat":1,"aspd":100,"respawnTime":70,"spRecovery":1,"hpRecoveryPerSec":0,"moveSpeed":1,"tauntLevel":0,"massLevel":0,"deployLimit":1,"deckStack":0}` | keyframes linearly interpolated at `status` **plus every potential attribute modifier** (full potential, 潜能 6 — the default; character_table `potentialRanks` 1–5 — 「攻击力+N」, 「部署费用-1」, 「再部署时间-N秒」, 生命 / 防御 / 法抗 / 攻速 — added to the raw values: the official records carry no potential, a tournament video shows 刺玫 at ATK 435 / cost 15 = her E1 Lv55 413 / 17 + 攻击力+22 and two 部署费用-1; a lower potential — the player's 干员调配 setting since 0.2.2 — reads `potDown`, §2.3), hp/atk/def/cost/block/respawn rounded; **golden includes the module attribute bonus**. `aspd` 100 = base (module attack_speed added). Talent stat boosts are NOT folded in. |
 | `immunities` | `{"stun":false,"silence":false,"sleep":false,"frozen":false,"levitate":false}` | |
 | `rangeId`, `rangeGrid` | `"3-3"`, `[[1,0],[1,1],…]` | attack range at `status` |
 | `dmgType` | `"phys"` | `phys` / `arts` / `heal` (derived, see §2.1) |
@@ -173,11 +173,12 @@ Top level: `{ season, seasonName, modes, economy, lpCapPerRound, bossOvertimeAft
 | `skill` | see below | default skill at `status.skillLevel` (normal 4, golden 7) |
 | `skills[]` | `[{…skill record…, "index":0, "isDefault":false}, {…, "index":1, "isDefault":true}]` | **loadout choices** (DESIGN §16): every skill unlocked at `status` (E1 ⇒ S1–S2, E2 ⇒ S1–S3; the default is always listed), same shape as `skill` + `isDefault`, at the chess skill level, `trigger` resolved **for that skill index** (§2.2). The `isDefault` entry equals `skill` |
 | `modules[]`, `statsBase`, `traitBase`, `talentsBase` | see §2.2 | golden chess with `equipLevel > 0` only: selectable modules + the no-module base they apply to |
-| `talents[]` | `{"index":0,"name":"火力支援","desc":"…","descRaw":"…","bb":{"self_ammo":3,"duration":20,"ally_ammo":1},"bbStr":{},"rangeGrid":null,"tokenKey":null,"hidden":false,"fromModule":false}` | best unlocked candidate at `status` at full potential (candidates up to `requiredPotentialRank` 5: the 「天赋效果增强」 steps; module talent candidates the same); golden: module talent upgrades applied (`fromModule`); module data-only talents have `name:null, hidden:true`. A module upgrade of an existing talent **merges** blackboards (module keys win, base keys it does not restate are kept — e.g. 宴 keeps `min_attack_speed`; 仇白's upgrade adds `atk_scale_t` next to the old `atk_scale`: prefer the key the text uses). Module parts flagged `isToken` are **not** applied to the operator; they upgrade its summons (tokens.json variants). `containerTokenKey`: the official talent token id when it is a container missing from character_table (凛御银灰), `tokenKey` then holds the default skill's token |
+| `talents[]` | `{"index":0,"name":"火力支援","desc":"…","descRaw":"…","bb":{"self_ammo":3,"duration":20,"ally_ammo":1},"bbStr":{},"rangeGrid":null,"tokenKey":null,"hidden":false,"fromModule":false}` | best unlocked candidate at `status` at full potential (candidates up to `requiredPotentialRank` 5: the 「天赋效果增强」 steps; module talent candidates the same — an entry a lower potential changes chains its lower candidates, `potMin` / `potBelow`, §2.3); golden: module talent upgrades applied (`fromModule`); module data-only talents have `name:null, hidden:true`. A module upgrade of an existing talent **merges** blackboards (module keys win, base keys it does not restate are kept — e.g. 宴 keeps `min_attack_speed`; 仇白's upgrade adds `atk_scale_t` next to the old `atk_scale`: prefer the key the text uses). Module parts flagged `isToken` are **not** applied to the operator; they upgrade its summons (tokens.json variants). `containerTokenKey`: the official talent token id when it is a container missing from character_table (凛御银灰), `tokenKey` then holds the default skill's token |
 | `tokens[]` | `["token_10028_vigil_wolf"]` | summons (→ `tokens.json`): displayTokenDict + default-skill `overrideTokenKey` + talent `tokenKey`; `tokens.json → variants[chessId].sources` tells which (a `display`-only token is not produced by this chess's default skill or talents) |
 | `module` | `{"id":"uniequip_002_inside","name":"“最初的惊喜”","type":"MAR-X","level":1,"active":true}` | active only on golden chess |
 | `assets` | `{"avatar":"char_498_inside_2","portrait":"char_498_inside_2","spine":"char_498_inside","skillIcon":"skchr_inside_2","subProfIcon":"sub_fastshot_icon"}` | asset **ids** (URLs in `data/assets.json`); golden uses the E2 art when it exists |
 | `diyRequirement` | `"TIER_6"` | DIY only |
+| `potDown` | `{"0":{"stats.cost":17},"1":{"stats.respawnTime":70},"2":{"stats.atk":413},"4":{"stats.cost":16}}` (`chess_char_1_06_a`, 刺玫) | what a lower potential changes (§2.3; absent when nothing does: the DIY slots, 盟约·辅助干员) |
 
 `skill`:
 
@@ -242,6 +243,30 @@ everything needed to resolve a unit for `(chessId, skillIndex, moduleId)` (`simd
   variants[owner].byModule` (§14). Module choices never change the combat classification (`dmgType`…; the build warns
   if one ever would).
 
+### 2.3 Potential below full potential: `potDown` and chained talents (0.2.2)
+
+Potential (潜能 1–6) is the player's per-operator setting (干员调配, the owner's decision of 2026-10-08 — default 潜能 6;
+official: 调度手册 「卫戍协议中干员潜能由自身已持有干员潜能决定」). Every record is built at **full potential** and carries
+what each lower one changes; `shared/potential.js atPotential(rec, potential)` composes the record at a potential
+(data rank r = potential − 1, character_table's `potentialRanks[r]` being the step from rank r to r + 1). The same
+annotation is on chess records, `backups.json` unit forms (§18) and token variants (`tokens.json` and `backups.json`
+`tokens` variants, §14 — the owner's potential; a token record's top-level defaults stay full):
+
+- `potDown`: `{ "<rank>": { "<dotted.path>": value } }` — for each rank 0–4, the exact value at that rank of every leaf
+  that differs from the rank above (`stats.*` / `statsBase.*` of a record, `stats.*` of a form; a variant's
+  `stats.deployLimit`, `stats.deckStack`, `count`, `bySkill.<i>.count`, `byModule.<id>.stats.*`). Applied from rank 4
+  down to the wanted rank, each value overwriting, so every leaf ends at its value for that rank.
+- a talent entry (`talents`, `talentsBase`, `modules[].talentChanges`; a variant's `talents` and `byModule[*].talents`)
+  that a lower rank changes: `potMin` = the lowest rank it holds for, `potBelow` = the fields the entry below it
+  changes (`desc`, `descRaw`, `bb` …), itself chained the same way — the candidates by `requiredPotentialRank`
+  (刺玫's 土壤基肥改良 `potMin` 4: 11% → 8%; Mon3tr's 不毁重构 below its owner's rank 4: 3 s / 1200).
+
+`tools/build-data.mjs` runs the chess / backups / tokens builders at every rank (`ctx.potRank`) and annotates the
+full-rank build from the others; the build fails unless `atRank` rebuilds every rank exactly, and the unit-form parity
+(§18) holds at every rank. Nothing else depends on potential (no skill, trait or list length). The data translations
+(`data/i18n/*.json`) translate the chained texts too. 练度 (the 自持有 bonus) is no record field: it is the
+`char_attribute_mul` of the effects.json CHAR_MAP records `aceffect_char_1…4` (§7), applied to the unit.
+
 ---
 
 ## 3. `bonds.json` — `{ [bondId]: Bond }` (23 bonds, 8 core)
@@ -317,7 +342,7 @@ everything needed to resolve a unit for `(chessId, skillIndex, moduleId)` (`simd
 
 ## 7. `effects.json` — `{ [effectId]: Effect }` (361: every effect of the season)
 
-Types: `BAND_INITIAL` 41, `BOND` 23, `EQUIP` 115, `ENEMY_GAIN` 129 (悬赏), `BUFF_GAIN` 43 (战术决策), `ENEMY` 6 (`aceffect_enemy_*` global modifiers), `CHAR_MAP` 4.
+Types: `BAND_INITIAL` 41, `BOND` 23, `EQUIP` 115, `ENEMY_GAIN` 129 (悬赏), `BUFF_GAIN` 43 (战术决策), `ENEMY` 6 (`aceffect_enemy_*` global modifiers), `CHAR_MAP` 4 (角色练度映射 — the 自持有 练度 tiers `aceffect_char_1…4`, 未精英化 / 精英阶段1 / 精英阶段2 / 精英阶段2-60级, in `autoChessData.cultivateEffectList` order: their `char_attribute_mul` buff — `atk` / `def` / `max_hp` 1, 1.05, 1.1 — is the unit's 练度 multiplier, `shared/potential.js cultivateMul`, 0.2.2).
 
 | Field | Example | Meaning |
 |---|---|---|
@@ -494,7 +519,7 @@ Glyph legend (`rows`):
 | `skill` | `{"skillId":"sktok_vigil_wolf_3","bb":{…}}` | default token skill (same slot as the owner's skill) |
 | `deployLimit`, `count` | `1`, `1` | `deployLimit` = the first owner's `stats.deployLimit`. `count` = copies sent to the hand / spawned (talent/skill `cnt`); `null` ⇒ use `deployLimit` |
 | `abnormal[]` | `["healFree"]` | abnormal effects the summon holds from the start, no official table carries them — `tools/build-data.mjs TOKEN_ABNORMAL` from the PRTS summon pages (user playtest #6 item 18): `healFree` = 禁疗 (“小自在”, “耀阳”, 斯卡蒂的海嗣, 沙之碑, 流形, 狼群, 迷迭香的战术装备, 黄金盟誓, 保护目标（冻结状态）), `isolated` = 孤立 "无法被同阵营选中" (“炎佑”, 从不混淆的方向); `[]` otherwise. The sim sets `noHeal` / `isolated` (docs/SIM.md §3) |
-| `variants[ownerChessId]` | `{"phase":2,"level":1,"stats":{…},"immunities":{…},"rangeGrid":…,"trait":{…},"dmgType":…,"skill":{full skill record},"talents":[…],"count":1,"sources":["talent","display"]}` | stats at the owner's phase/level (clamped to the token's max level) — **none of the owner's potential attribute modifiers** (a token has no potential ranks) — + golden module `tokenAttributeBlackboard` + the token's own talent additions to `deployLimit` / `deckStack` (blackboard `max_deploy_count` / `max_deck_stack_cnt` — the hidden "TOKEN数" talent of 麦哲伦's / 令's summons and 白铁's devices, 夜莺's 幻影; a module token part of the same talent replaces it: `tools/build-data.mjs tokenTalentDeckBonus`, 0.2.0 — no tokens.json summon has one; PRTS 幻影 备注 "最大可部署数量为3", the owners' "最多同时部署3个"); its `talents` / `trait` candidates are picked at the **owner's potential** (full: their `requiredPotentialRank` mirrors the owner's 「天赋效果增强」 — 夕's “小自在” 18 层, 凯尔希's Mon3tr, 望's 棋子 +1 持有 / 部署; `tools/build-data.mjs OPERATOR_POTENTIAL`); the owner's module parts flagged `isToken` upgrade the variant's `trait` (+`moduleDesc`) and `talents` (伺夜's wolves, 缪尔赛思's 流形 `scale` 1, 浊心斯卡蒂's 海嗣 30 s, “耀阳” `atk_scale` 1.15). `sources` ⊆ `talent`/`skill`/`display`: how the owner produces it (`display` only = listed on the character but unused by its default skill/talents, e.g. 迷迭香 S2, 凛御银灰 eagle1/3). `count` = copies from a talent `cnt` or the default skill's `cnt` when that skill overrides this token; `null` ⇒ use `deployLimit` |
+| `variants[ownerChessId]` | `{"phase":2,"level":1,"stats":{…},"immunities":{…},"rangeGrid":…,"trait":{…},"dmgType":…,"skill":{full skill record},"talents":[…],"count":1,"sources":["talent","display"]}` | stats at the owner's phase/level (clamped to the token's max level) — **none of the owner's potential attribute modifiers** (a token has no potential ranks) — + golden module `tokenAttributeBlackboard` + the token's own talent additions to `deployLimit` / `deckStack` (blackboard `max_deploy_count` / `max_deck_stack_cnt` — the hidden "TOKEN数" talent of 麦哲伦's / 令's summons and 白铁's devices, 夜莺's 幻影; a module token part of the same talent replaces it: `tools/build-data.mjs tokenTalentDeckBonus`, 0.2.0 — no tokens.json summon has one; PRTS 幻影 备注 "最大可部署数量为3", the owners' "最多同时部署3个"); its `talents` / `trait` candidates are picked at the **owner's potential** (full; their `requiredPotentialRank` mirrors the owner's 「天赋效果增强」 — 夕's “小自在” 18 层, 凯尔希's Mon3tr, 望's 棋子 +1 持有 / 部署 — and the variant chains the lower ones, §2.3: `atPotential(variant, ownerPotential)`); the owner's module parts flagged `isToken` upgrade the variant's `trait` (+`moduleDesc`) and `talents` (伺夜's wolves, 缪尔赛思's 流形 `scale` 1, 浊心斯卡蒂's 海嗣 30 s, “耀阳” `atk_scale` 1.15). `sources` ⊆ `talent`/`skill`/`display`: how the owner produces it (`display` only = listed on the character but unused by its default skill/talents, e.g. 迷迭香 S2, 凛御银灰 eagle1/3). `count` = copies from a talent `cnt` or the default skill's `cnt` when that skill overrides this token; `null` ⇒ use `deployLimit` |
 | `variants[o].bySkill[i]` | `{"skill":{…},"count":1,"sources":["talent","display"]}` | owner loadout with the non-default skill index `i` (one entry per other selectable owner skill): the token skill of that slot (伺夜's wolves, 缪尔赛思's 流形, 凛御银灰's eagles…), the count and how the chess then produces it (`sources` may be `[]`: 风丸 S1 makes no 纸偶; 赫默 / 巫恋 S1 only `display` ⇒ no hand piece). The sim resolves them for an owner loadout: `simdata getToken(id, ownerChessId, loadout)` → `def.sources` / `def.count` |
 | `variants[o].byModule[m]` | `{"stats":{…},"immunities":{…},"trait":{…},"talents":[…]}` | golden owner with another module `m` or `'none'`: the token as that module makes it (module `tokenAttributeBlackboard`, `isToken` trait/talent parts) |
 | `assets` | `{"avatar":"token_10028_vigil_wolf","spine":"token_10028_vigil_wolf"}` | |
@@ -574,7 +599,7 @@ Glyph legend (`rows`):
 
 `chess 266 (112 visible; 283 selectable skills over the visible chess, 184 module choices over 129 goldens; 74 PRESET / 55 NORMAL / 4 DIY base chess)`, `bonds 23`, `garrisons 249 (43 effect keys)`, `items 115`, `bands 40`, `effects 361`,
 `enemies 249`, `factions 67 entries`, `waves 38`, `stages 11 (8 active)`, `bosses 10`, `tokens 22`, `choice events 109`,
-`bounty cards 129`, `tactic cards 43`, `backups: 88 units (17 stand-ins, 71 owned-6★ picks; 256 forms), 38 自选 summons, 4 DIY slots, 15 / 9 prototype picks (tier 5 / 6), 71 owned-6★ picks (7 collab operators excluded)`.
+`bounty cards 129`, `tactic cards 43`, `backups: 88 units (17 stand-ins, 71 owned-6★ picks; 256 forms), 38 自选 summons, 4 DIY slots, 15 / 9 prototype picks (tier 5 / 6), 71 owned-6★ picks (7 collab operators excluded)`, potential (§2.3): `256 chess records, 219 forms / variants with potDown; 442 + 401 + 19 chained talent entries (chess, backups, tokens)`.
 
 ## 17. Integrity guarantees (checked by the builder and `test/data.test.js`)
 
@@ -623,8 +648,8 @@ server/match/player/diy.js, docs/META.md §3). The rules in the data (activity_t
 - A stand-in keeps the chess's bonds, 特质, tier, price, merge and status (the elite form uses the same backup at the
   elite row) and fights as `backup.charId` at that status with skill `backup.skillIndex` (fixed by the chess: the same
   character takes S2 on one chess and S3 on another), module `backup.uniEquipId` (null at tiers 3–4 and for every 4★, so
-  even their elite form has none) and the row's potential (`potRank` 0 on all 55) — moot: every unit form is built at
-  full potential like a chess (the owner's decision of 2026-10-07), and the 17 原型干员 have no potential ranks.
+  even their elite form has none) and the row's potential (`potRank` 0 on all 55) — moot: the 17 原型干员 have no
+  potential ranks, and a stand-in takes neither the player's potential nor the 自持有 练度 (0.2.2).
 
 `units[charId]` — first the 17 stand-ins, then the 71 owned-6★ 自选 picks (`diy.ownedPool`); no unit for a PRESET or DIY
 chess:
@@ -638,7 +663,7 @@ chess:
 | `forms[statusKey]` | keys `"2/1/4/0"`, `"2/60/7/1"`, `"2/60/7/3"` | the character at every status it fights at — of the chess it stands in for and of the DIY slots it may fill (`statusKey(status)` = `phase/level/skillLevel/equipLevel`): 3 forms per 6★ (an owned pick: exactly the three DIY slot statuses — E2 Lv1 skill rank 4 without a module, E2 Lv60 rank 7 with every module at stage 1 and at stage 3), 2 per 4★ |
 
 A **form** holds the operator fields of a chess record with **nothing selected**: `status`; `stats`, `trait`, `talents`
-**without** a module, at full potential as on a chess; `immunities`, `rangeId`, `rangeGrid`, `dmgType`, `attackKind`, `projectile`, `canHitFly`,
+**without** a module, at full potential as on a chess (`potDown` / chained talents for the lower ones, §2.3); `immunities`, `rangeId`, `rangeGrid`, `dmgType`, `attackKind`, `projectile`, `canHitFly`,
 `targetPriority`; `skills[]` — every skill unlocked at the status, at its skill level, `trigger` resolved per skill, no
 `isDefault`; `displayTokens` / `tokens` (summons — none of the 17 stand-ins has one; 27 of the owned picks do, their
 records in `tokens` below); at `equipLevel > 0` `modules[]` (§2.2 shape without `isDefault`). `buildUnitForm` uses buildChess's helpers and rules, and the build fails when `buildUnitForm` +
@@ -705,5 +730,6 @@ loadout. No id is also a tokens.json record.
 
 Not in this data: a player's ownership roster and 自选 picks (browser settings sent with `room.ownership` / `room.diy`),
 the DIY stock (per player in the match, `PlayerState.diyStock`: `config.economy.poolCopies` of the slot's tier — no excel
-field), 助战 borrows (`borrowCount` 20), the owned-operator training bonus (`prepareStateDict`), a per-player potential (every
-form is built at full potential, as every chess: the owner's decision of 2026-10-07).
+field), 助战 borrows (`borrowCount` 20), and a player's potential / 练度 per operator (the 干员调配 settings sent with
+`room.loadout`; the forms are built at full potential and carry the lower ranks, §2.3; 练度 = effects.json
+`aceffect_char_1…4`).

docs/research/03-operators.md

@@ -18,7 +18,7 @@ Rich-text tags (`<@ba.vup>…</>`, `<$ba.inspire>…</>`) are stripped in this d
 | 6 | E2 Lv1 / S-Lv4 / mod 0 | E2 Lv60 / S-Lv7 / mod 3 | 4 (golden entry also 4) | 1 (golden 1) | char_elite_base_2 / char_elite_gold_2 |
 
 - Every chess has `upgradeNum = 3`: 3 copies of the same normal chess -> 1 golden (精锐) chess (`upgradeChessId` = `goldenChessId`). Golden chess have `upgradeChessId = null` (no further upgrade). Exception via 特质: 风丸 `chess_char_2_11` (garrison_93: "只需2个相同的本干员即可合成精锐") needs only 2 copies.
-- favorPoint = 0 in every status -> **trust bonus 0**. The status has no potential field (the tables here are at potential 0); the remake fights at **full potential** (潜能 6 — the owner's decision of 2026-10-07, GitHub #252: a tournament video shows 刺玫 at ATK 435 / cost 15 = her E1 Lv55 413 / 17 + 攻击力+22 and two 部署费用-1; data/chess.json, build-data `OPERATOR_POTENTIAL`). Module (模组) is **inactive on normal chess** (equipLevel 0) and **active on golden chess** at stage 1 (tiers 1–5) or stage 3 (tier 6). The module used is always `defaultUniEquipId` (always the operator's `uniequip_002_*` = first advanced module, X or Y type depending on operator; 凛御银灰 `char_1045_svash2` has none).
+- favorPoint = 0 in every status -> **trust bonus 0**. The status has no potential field (the tables here are at potential 0); the remake fights at the **player's potential** (潜能 1–6 per operator in 干员调配, default full potential 潜能 6 — the owner's decisions of 2026-10-07, GitHub #252: a tournament video shows 刺玫 at ATK 435 / cost 15 = her E1 Lv55 413 / 17 + 攻击力+22 and two 部署费用-1, and of 2026-10-08: the 调度手册 「卫戍协议中干员潜能由自身已持有干员潜能决定」; data/chess.json is built at full potential and carries the lower ranks, DATA.md §2.3). Module (模组) is **inactive on normal chess** (equipLevel 0) and **active on golden chess** at stage 1 (tiers 1–5) or stage 3 (tier 6). The module used is always `defaultUniEquipId` (always the operator's `uniequip_002_*` = first advanced module, X or Y type depending on operator; 凛御银灰 `char_1045_svash2` has none).
 - Golden stat jump is large: tier 1 goes E1 Lv55 -> E2 Lv50 (so skill 3 exists but chess keep their `defaultSkillIndex`; the skill index does NOT change on upgrade, only the level 4 -> 7).
 - Prices: see 1.1 table; purchasePrice is per tier (T1=2, T2=3, T3=3, T4=3, T5=4, T6=4 coins); selling any chess returns 1 (data `chessSoldPrice`=1 for all; the shop/economy doc should confirm whether golden sells for more via other rules). Note: garrison `SERVER_PRICE` effects override the purchase price for specific chess (e.g. "购买价格为1").
 - Board/bench limits (constData): maxBattleChessCnt = **8** on field, maxDeckChessCnt = **10** on bench (整备区), storeCntMax = 6, shopRefreshPrice = 1, fallbackBondId = `emptyShip` (协防干员), borrowCount = 20 (max friend-support borrows).
@@ -35,7 +35,7 @@ Rich-text tags (`<@ba.vup>…</>`, `<$ba.inspire>…</>`) are stripped in this d
 
 - `stat(level) = kf0 + (kf1 - kf0) * (level - kf0.level) / (kf1.level - kf0.level)` using `character_table[charId].phases[evolvePhase].attributesKeyFrames` (two keyframes: Lv1 and max level). maxHp/atk/def/cost/blockCnt/respawnTime rounded half-up to int; others kept as float.
 - Golden: + module `battle_equip_table[defaultUniEquipId].phases[equipLevel-1].attributeBlackboard` (max_hp, atk, def, attack_speed, magic_resistance, …). Module trait additions are listed as `module.traitEffect` / `module.hiddenTalentEffects` in JSON.
-- No trust. No potential in these tables — data/chess.json adds every `potentialRanks` attribute step and takes the talent candidates up to `requiredPotentialRank` 5 (full potential, the owner's decision of 2026-10-07). Talent-driven permanent stat increases (e.g. "攻击力+8%") are NOT folded into the numbers; apply them in the sim from `talents[]`.
+- No trust. No potential in these tables — data/chess.json adds every `potentialRanks` attribute step and takes the talent candidates up to `requiredPotentialRank` 5 (full potential, the default) and carries what each lower potential changes (`potDown`, chained talents — DATA.md §2.3: the player's 干员调配 setting since 0.2.2). Talent-driven permanent stat increases (e.g. "攻击力+8%") are NOT folded into the numbers; apply them in the sim from `talents[]`.
 - `cost` (DP) and `respawnTime` are used by automatic redeployment in battle (see 1.4).
 - Attack interval = `baseAttackTime * 100 / attackSpeed` seconds.
 

server/sim/content/kits/README.md

@@ -201,7 +201,7 @@ hook), and clear the owner's `mem.summonStock[tokenId]` when the skill takes the
 `units: [op, { uid, kind: 'token', tokenId, ownerUid, row, col }]` (`test/content/op_bgsnow.test.js`); the match side is
 covered by `test/match/diy-shop.test.js` (a DIY 鸿雪's 打字机 from prep to battle). A 召唤师 whose talent holds a deck of
 summons ("可以使用5个召唤物（最多同时部署3个）") takes `shared/summoner.js summonDeck` — the holding, a placed piece's return
-on its tile, recalls, its pieces' kits (`op-mgllan.js`, `op-ling.js`, `op-radian.js`). Every pick fights at full potential, as every chess (the owner's decision of 2026-10-07: data/backups.json forms, build-data `OPERATOR_POTENTIAL`). A new kit makes the operator a legal pick at once:
+on its tile, recalls, its pieces' kits (`op-mgllan.js`, `op-ling.js`, `op-radian.js`). Every owned pick fights at its player's potential and 练度, as every chess (default 潜能 6 and 精英2 Lv.60 — the owner's decision of 2026-10-08; data/backups.json forms are built at full potential and carry the lower ranks, DATA.md §2.3); a prototype pick has neither. A new kit makes the operator a legal pick at once:
 the server's `welcome.diyKitted` lists `KITTED_CHARS`, so the 自选编队 picker offers it and `room.diy` keeps it.
 
 **The fidelity rule and the checklist** above apply item by item: every skill at rank 4 and 7, every talent, every

shared/loadoutRecord.js

@@ -40,15 +40,23 @@ export function composeStats(statsBase, attr) {
   return s;
 }
 
+/**
+ * A talent entry without its potential chain (shared/potential.js: `potMin` / `potBelow`).
+ * @param {any} t
+ * @returns {any}
+ */
+const unchained = ({ potMin: _m, potBelow: _b, ...t }) => t;
+
 /**
  * Talents with a module: apply ModuleRecord.talentChanges to the no-module talents — the merge rule of
  * tools/build-data.mjs mergeTalentChanges (override of an existing index: module values win, base keys the module does
- * not restate are kept; otherwise appended; empty placeholders dropped).
+ * not restate are kept; otherwise appended; empty placeholders dropped). The result carries no potential chains: a merged
+ * list is composed at one potential (resolve the inputs first — shared/potential.js atPotential).
  */
 export function composeTalents(base, changes) {
-  const talents = (base || []).map((t) => ({ ...t }));
-  for (const ch of changes || []) {
-    const { talentIndex, ...rest } = ch;
+  const talents = (base || []).map(unchained);
+  for (const ch0 of changes || []) {
+    const { talentIndex, ...rest } = unchained(ch0);
     const rec = { index: talentIndex, ...rest, fromModule: true };
     const at = talentIndex >= 0 ? talents.findIndex((x) => x.index === talentIndex) : -1;
     if (at >= 0) {

shared/potential.js

@@ -0,0 +1,207 @@
+// shared/potential.js — operator potential (潜能 1–6) as a runtime input, and the 自持有 练度 bonus (0.2.2; the owner's
+// decision of 2026-10-08: 「调配干员里自己设置吧，默认满潜满加成」). Pure ESM shared by the build (tools/build-data.mjs
+// proves the composition below rebuilds every record at every potential), the simulation (server/sim/simdata.js), the
+// server (PlayerState) and the client (干员调配 / detail cards).
+//
+// Official (调度手册 autochess_shop_3 「卫戍协议中干员潜能由自身已持有干员潜能决定」; PRTS 卫戍协议 「干员的潜能等级始终以自身
+// 持有状态为准」): an operator fights at the player's own potential; the season's chess rows carry none. The data records
+// (data/chess.json, data/backups.json forms, the token variants of data/tokens.json and backups.json `tokens`) are
+// built at FULL potential (潜能 6 = rank 5, the default) and carry what any lower potential changes (docs/DATA.md §2.3):
+//   * `potDown` on a record / form / token variant: `{ "<rank>": { "<dotted.path>": value } }` — the exact value at that
+//     rank of every leaf (stats.cost, statsBase.atk, count, stats.deployLimit, byModule.<id>.stats.deckStack …) that
+//     differs from the rank above; applied from rank 4 down to the wanted rank (each overwrites), so a leaf ends at its
+//     value for that rank (the potentialRanks attribute steps: 「部署费用-1」, 「攻击力+22」, 「再部署时间-4秒」 …);
+//   * on a talent entry (talents / talentsBase / modules[].talentChanges / a variant's talents and byModule talents):
+//     `potMin` = the lowest rank the entry holds for and `potBelow` = the fields the entry below it changes (desc /
+//     descRaw / bb …; itself chained): the talent candidates by `requiredPotentialRank` (「天赋效果增强」: 刺玫's
+//     土壤基肥改良 11% → 8% below rank 4). A summon's talents follow its OWNER's potential (their candidates mirror the
+//     owner's steps; DESIGN §26.14).
+// Data rank r = potential − 1 (character_table `potentialRanks[r]` is the step from rank r to r + 1).
+//
+// 练度 (cultivate 0–3, activity_table autoChessData.cultivateEffectList): the effects.json CHAR_MAP records
+// aceffect_char_1 … 4 — 未精英化 / 精英阶段1 / 精英阶段2 / 精英阶段2-60级 — whose `char_attribute_mul` buff multiplies ATK /
+// DEF / max HP (×1 / ×1.05 ATK, DEF / ×1.1 ATK, ×1.05 DEF, HP / ×1.1 all three): a multiplier of its own (the sim's Πmul),
+// never summed with the 直接乘算 bonuses (PRTS 盟约记录 「…均为直接乘算，与自持有干员的属性加成独立」). Only an owned operator
+// of the same name has it — initial, elite and 自选 forms alike; a 补位 stand-in and a prototype 自选 pick have neither
+// potential nor 练度 (`cultivationOf`).
+
+/** Potential bounds (潜能 1–6) and the default (full potential, the data's own). */
+export const POTENTIAL_MIN = 1;
+export const POTENTIAL_MAX = 6;
+export const POTENTIAL_DEFAULT = 6;
+/** The data rank every record is built at (potential 6). */
+export const FULL_RANK = POTENTIAL_MAX - 1;
+
+/** The 练度 tiers: effects.json CHAR_MAP effect ids in cultivateEffectList order (cultivateNum 1 / 1001 / 2001 / 2060). */
+export const CULTIVATE_EFFECTS = Object.freeze(['aceffect_char_1', 'aceffect_char_2', 'aceffect_char_3', 'aceffect_char_4']);
+export const CULTIVATE_MAX = CULTIVATE_EFFECTS.length - 1;
+/** The default 练度: 精英阶段2-60级 (the owner's 「默认满潜满加成」). */
+export const CULTIVATE_DEFAULT = CULTIVATE_MAX;
+
+/** Is `v` a potential (integer 1–6)? */
+export const isPotential = (v) => Number.isInteger(v) && v >= POTENTIAL_MIN && v <= POTENTIAL_MAX;
+/** Is `v` a 练度 tier (integer 0–3)? */
+export const isCultivate = (v) => Number.isInteger(v) && v >= 0 && v <= CULTIVATE_MAX;
+/** The data rank of a potential (anything else: full potential). */
+export const rankOf = (potential) => (isPotential(potential) ? potential - 1 : FULL_RANK);
+
+const isObj = (v) => !!v && typeof v === 'object' && !Array.isArray(v);
+const own = (o, k) => isObj(o) && Object.prototype.hasOwnProperty.call(o, k);
+
+/**
+ * A talent entry at data rank `rank`: its `potBelow` chain followed while `rank < potMin`, returned without the chain
+ * fields (a copy only when the entry carries them).
+ * @param {any} t @param {number} rank
+ */
+export function talentAtRank(t, rank) {
+  if (!isObj(t) || !(own(t, 'potMin') || own(t, 'potBelow'))) return t;
+  const { potMin: _m, potBelow: _b, ...out } = t;
+  // each `potBelow` holds the fields its rank changes (a partial entry); merged down the chain
+  let x = t;
+  while (isObj(x.potBelow) && rank < (Number.isInteger(x.potMin) ? x.potMin : 0)) {
+    x = x.potBelow;
+    for (const [k, v] of Object.entries(x)) if (k !== 'potMin' && k !== 'potBelow') out[k] = v;
+  }
+  return out;
+}
+
+/** A talent list at data rank `rank` (talentAtRank of every entry). */
+export function talentsAtRank(list, rank) {
+  return Array.isArray(list) ? list.map((t) => talentAtRank(t, rank)) : list;
+}
+
+/** `obj` with the `potDown` leaves of ranks FULL_RANK − 1 … `rank` applied (copy-on-write; `potDown` dropped). */
+function applyPotDown(obj, rank) {
+  const out = { ...obj };
+  delete out.potDown;
+  const down = obj.potDown;
+  if (!isObj(down)) return out;
+  const copied = new Set([out]);
+  for (let r = FULL_RANK - 1; r >= rank; r--) {
+    const step = down[String(r)];
+    if (!isObj(step)) continue;
+    for (const [path, value] of Object.entries(step)) {
+      const keys = path.split('.');
+      let cur = out;
+      for (let i = 0; i < keys.length - 1; i++) {
+        const k = Array.isArray(cur) ? Number(keys[i]) : keys[i];
+        const next = cur[k];
+        if (!next || typeof next !== 'object') { cur = null; break; }
+        if (!copied.has(next)) { cur[k] = Array.isArray(next) ? next.slice() : { ...next }; copied.add(cur[k]); }
+        cur = cur[k];
+      }
+      if (cur) cur[Array.isArray(cur) ? Number(keys[keys.length - 1]) : keys[keys.length - 1]] = value;
+    }
+  }
+  return out;
+}
+
+/**
+ * A record / backups form / token variant at data rank `rank`: its `potDown` applied and every talent list resolved —
+ * `talents`, `talentsBase`, `modules[].talentChanges`, `byModule[*].talents` (a variant's `bySkill` holds no talents).
+ * `rank` ≥ FULL_RANK (or no potential data) returns `obj` itself.
+ * @template T
+ * @param {T} obj
+ * @param {number} rank
+ * @returns {T}
+ */
+export function atRank(obj, rank) {
+  if (!isObj(obj) || !(Number.isInteger(rank) && rank >= 0 && rank < FULL_RANK)) return obj;
+  const out = applyPotDown(obj, rank);
+  for (const k of ['talents', 'talentsBase']) if (Array.isArray(out[k])) out[k] = talentsAtRank(out[k], rank);
+  if (Array.isArray(out.modules)) {
+    out.modules = out.modules.map((m) => (isObj(m) && Array.isArray(m.talentChanges) ? { ...m, talentChanges: talentsAtRank(m.talentChanges, rank) } : m));
+  }
+  if (isObj(out.byModule)) {
+    const bm = {};
+    for (const [id, m] of Object.entries(out.byModule)) bm[id] = isObj(m) && Array.isArray(m.talents) ? { ...m, talents: talentsAtRank(m.talents, rank) } : m;
+    out.byModule = bm;
+  }
+  return out;
+}
+
+/**
+ * A data/chess.json record (or a backups form, or a token variant) at `potential` (1–6; anything else = full
+ * potential, the record itself) — atRank of its data rank.
+ * @template T
+ * @param {T} rec
+ * @param {number|null|undefined} potential
+ * @returns {T}
+ */
+export function atPotential(rec, potential) {
+  return isPotential(potential) && potential < POTENTIAL_MAX ? atRank(rec, potential - 1) : rec;
+}
+
+/** Whether a record / form / variant changes below full potential at all (`potDown` or a chained talent list). */
+export function hasPotentialData(obj) {
+  if (!isObj(obj)) return false;
+  if (isObj(obj.potDown) && Object.keys(obj.potDown).length) return true;
+  const chained = (list) => Array.isArray(list) && list.some((t) => isObj(t) && isObj(t.potBelow));
+  if (chained(obj.talents) || chained(obj.talentsBase)) return true;
+  if (Array.isArray(obj.modules) && obj.modules.some((m) => chained(m?.talentChanges))) return true;
+  return isObj(obj.byModule) && Object.values(obj.byModule).some((m) => chained(m?.talents));
+}
+
+/**
+ * A deep copy of `v` without the potential annotations (`potDown`, `potMin`, `potBelow`): what a record built at one
+ * rank looks like (the build's self-check; tests).
+ */
+export function stripPotential(v) {
+  if (Array.isArray(v)) return v.map(stripPotential);
+  if (!isObj(v)) return v;
+  const out = {};
+  for (const [k, x] of Object.entries(v)) if (k !== 'potDown' && k !== 'potMin' && k !== 'potBelow') out[k] = stripPotential(x);
+  return out;
+}
+
+// ---- 练度 (自持有) ---------------------------------------------------------------------------------------------------
+
+/**
+ * The ATK / DEF / max HP multipliers of 练度 tier `cultivate` (0–3): the `char_attribute_mul` buff of its effects.json
+ * CHAR_MAP record (a key the record does not name is ×1: aceffect_char_1 names only atk 1). Null for no tier / no data.
+ * @param {any} effects data/effects.json (or a lookup `(id) => record`)
+ * @param {number|null|undefined} cultivate
+ * @returns {{ atk: number, def: number, hp: number } | null}
+ */
+export function cultivateMul(effects, cultivate) {
+  if (!isCultivate(cultivate)) return null;
+  const id = CULTIVATE_EFFECTS[cultivate];
+  const rec = typeof effects === 'function' ? effects(id) : own(effects, id) ? effects[id] : null;
+  const buff = isObj(rec) && Array.isArray(rec.buffs) ? rec.buffs.find((b) => isObj(b) && b.key === 'char_attribute_mul') : null;
+  if (!buff) return null;
+  const bb = isObj(buff.bb) ? buff.bb : {};
+  const m = (k) => (typeof bb[k] === 'number' && Number.isFinite(bb[k]) && bb[k] > 0 ? bb[k] : 1);
+  return { atk: m('atk'), def: m('def'), hp: m('max_hp') };
+}
+
+/**
+ * Stats with a 练度 multiplier applied to ATK / DEF / max HP (what the unit's own numbers read: the detail card, the
+ * 干员调配 局内数值). The sim keeps the multiplier on the unit (units.js Πmul): these are the same products.
+ * @param {any} stats @param {{ atk: number, def: number, hp: number } | null} mul
+ */
+export function cultivatedStats(stats, mul) {
+  if (!isObj(stats) || !mul) return stats;
+  const out = { ...stats };
+  if (typeof out.atk === 'number') out.atk *= mul.atk;
+  if (typeof out.def === 'number') out.def *= mul.def;
+  if (typeof out.maxHp === 'number') out.maxHp *= mul.hp;
+  return out;
+}
+
+/**
+ * The potential / 练度 a player's piece of record `rec` fights at, from the player's per-operator settings `ops`
+ * (`{ [charId]: { potential?, cultivate? } }`; a missing entry or field is the default — 潜能 6, 精英阶段2-60级), or null
+ * when it has neither: a 补位 stand-in (`standInFor`) or a prototype 自选 pick (`diyProto`) — another character than
+ * the operator the player owns.
+ * @param {any} rec a chess record or a composed 自选 / stand-in record
+ * @param {Record<string, { potential?: number, cultivate?: number }> | null | undefined} ops
+ * @returns {{ potential: number, cultivate: number } | null}
+ */
+export function cultivationOf(rec, ops) {
+  if (!isObj(rec) || rec.standInFor || rec.diyProto || typeof rec.charId !== 'string' || !rec.charId) return null;
+  const e = own(ops, rec.charId) && isObj(ops[rec.charId]) ? ops[rec.charId] : null;
+  return {
+    potential: e && isPotential(e.potential) ? e.potential : POTENTIAL_DEFAULT,
+    cultivate: e && isCultivate(e.cultivate) ? e.cultivate : CULTIVATE_DEFAULT,
+  };
+}

shared/standIn.js

@@ -15,6 +15,7 @@
 // chess's ids, so its kit must be looked up by its `charId`, never by `baseId` (that is the replaced operator's kit).
 
 import { composeStats, composeTalents } from './loadoutRecord.js';
+import { stripPotential } from './potential.js';
 
 /** The key of a unit form: a chess record's `status` as `${phase}/${level}/${skillLevel}/${equipLevel}`. */
 export function statusKey(status) {
@@ -44,7 +45,9 @@ const byNatural = (a, b) => String(a).localeCompare(String(b), 'en', { numeric:
  * The same rules as tools/build-data.mjs buildChess: stats = form stats + the module's `attr`, trait = the module's
  * `traitOverride` or the form's, talents = form talents + the module's `talentChanges`; `module` is active only when
  * `status.equipLevel > 0` and the module has that level; an elite with `equipLevel > 0` carries
- * `statsBase` / `traitBase` / `talentsBase` / `modules[]`; `tokens` are the summons the selection produces.
+ * `statsBase` / `traitBase` / `talentsBase` / `modules[]`; `tokens` are the summons the selection produces. The record is
+ * composed at ONE potential: pass the form at the wanted potential (shared/potential.js atPotential — a stand-in has none)
+ * and the result carries no potential annotation (`potDown`, chained talents).
  * @param {object} identity the data/chess.json record whose identity the unit takes (IDENTITY_FIELDS)
  * @param {object} unit backups.units[charId]
  * @param {object} form backups.units[charId].forms[statusKey(identity.status)]
@@ -63,7 +66,7 @@ export function composeUnitRecord(identity, unit, form, { skillIndex, moduleId =
   const skill = skills.find((s) => s && s.index === skillIndex) ?? null;
   const mods = Array.isArray(form.modules) ? form.modules : null;
   const mod = moduleId && mods ? mods.find((m) => m && m.uniEquipId === moduleId) ?? null : null;
-  const talents = mod ? composeTalents(form.talents, mod.talentChanges) : form.talents;
+  const talents = composeTalents(form.talents, mod ? mod.talentChanges : null);
   // summons: listed by the character, produced by the selected skill or a talent (buildChess `tokens`)
   const known = new Set(form.tokens || []);
   const tokenIds = new Set([...(form.displayTokens || []), skill?.overrideTokenKey, ...(talents || []).map((t) => t?.tokenKey)]
@@ -95,8 +98,8 @@ export function composeUnitRecord(identity, unit, form, { skillIndex, moduleId =
   if (golden && equipLevel > 0) {
     out.statsBase = form.stats;
     out.traitBase = form.trait;
-    out.talentsBase = form.talents;
-    out.modules = (mods || []).map((m) => ({ ...m, isDefault: m.uniEquipId === moduleId }));
+    out.talentsBase = stripPotential(form.talents);
+    out.modules = (mods || []).map((m) => ({ ...stripPotential(m), isDefault: m.uniEquipId === moduleId }));
   }
   if (standInFor) out.standInFor = standInFor;
   return out;

test/data.test.js

@@ -16,6 +16,7 @@ import { join, dirname } from 'node:path';
 import { tmpdir } from 'node:os';
 import { spawnSync } from 'node:child_process';
 import { fileURLToPath } from 'node:url';
+import { stripPotential } from '../shared/potential.js';
 
 const ROOT = join(dirname(fileURLToPath(import.meta.url)), '..');
 // DATA_DIR lets the suite validate an alternative build output (e.g. `--out /tmp/x`).
@@ -558,7 +559,8 @@ test('chess: golden modules[] (+ statsBase/traitBase/talentsBase) compose back t
     // default loadout = the record's own stats / trait / talents
     assert.deepEqual(composeStats(c.statsBase, dm?.attr), c.stats, `${c.chessId}: statsBase + default attr = stats`);
     assert.deepEqual(dm?.traitOverride ?? c.traitBase, c.trait, `${c.chessId}: trait`);
-    assert.deepEqual(composeTalents(c.talentsBase, dm?.talentChanges), c.talents, `${c.chessId}: talents`);
+    // (the record's own lists chain their lower-potential entries — shared/potential.js; a composed list carries none)
+    assert.deepEqual(composeTalents(c.talentsBase, dm?.talentChanges), stripPotential(c.talents), `${c.chessId}: talents`);
     assert.equal(new Set(c.modules.map((m) => m.uniEquipId)).size, c.modules.length);
     for (const m of c.modules) {
       nMods++;

test/full-potential.test.js

@@ -1,5 +1,6 @@
-// test/full-potential.test.js — every operator fights at FULL potential (潜能 6), the owner's decision of 2026-10-07
-// (GitHub #252, PR #255; tools/build-data.mjs OPERATOR_POTENTIAL, docs/DATA.md §2): every chess (normal and elite), 自选
+// test/full-potential.test.js — the data records are built at FULL potential (潜能 6: the default — the owner's decisions of
+// 2026-10-07, GitHub #252 / PR #255, and 2026-10-08: a lower potential is the player's 干员调配 setting, test/potential.test.js;
+// tools/build-data.mjs FULL_RANK, docs/DATA.md §2 / §2.3): every chess (normal and elite), 自选
 // pick and 补位 stand-in adds its character_table `potentialRanks` attribute steps and takes its talent / module-talent
 // candidates up to `requiredPotentialRank` 5; a summon picks its talent candidates at its owner's potential but takes
 // none of the owner's attribute steps. The evidence: a tournament video shows 刺玫 (chess_char_1_06_a) at ATK 435 and

test/potential.test.js

@@ -0,0 +1,181 @@
+// test/potential.test.js — potential (潜能 1–6) is a per-player runtime input (0.2.2, the owner's decision of 2026-10-08:
+// 「调配干员里自己设置吧，默认满潜满加成」): the data records are built at full potential and carry what every lower
+// potential changes (shared/potential.js; docs/DATA.md §2.3 — `potDown` leaves, chained talent entries). These tests
+// check the composition at every potential against the raw official tables (character_table keyframes plus the
+// `potentialRanks` steps up to the potential, talent candidates up to `requiredPotentialRank`), the summons at their
+// owner's potential, and the data model (full potential = the record itself; a resolved record carries no annotation).
+// With the official-data cache (.cache/gamedata) the re-derivations run; the spot checks always do.
+// Run: node --test test/potential.test.js
+
+import { test } from 'node:test';
+import assert from 'node:assert/strict';
+import { readFileSync, existsSync } from 'node:fs';
+import { join, dirname } from 'node:path';
+import { fileURLToPath } from 'node:url';
+import {
+  atPotential, atRank, talentAtRank, stripPotential, hasPotentialData, rankOf, isPotential, isCultivate, cultivateMul,
+  cultivatedStats, cultivationOf, CULTIVATE_EFFECTS, POTENTIAL_DEFAULT, CULTIVATE_DEFAULT, FULL_RANK,
+} from '../shared/potential.js';
+import { composeTalents } from '../shared/loadoutRecord.js';
+
+const ROOT = join(dirname(fileURLToPath(import.meta.url)), '..');
+const DATA = process.env.DATA_DIR || join(ROOT, 'data');
+const CACHE = join(ROOT, '.cache', 'gamedata');
+const HAS_CACHE = ['activity_table', 'character_table'].every((f) => existsSync(join(CACHE, 'excel', `${f}.json`)));
+const load = (name) => JSON.parse(readFileSync(join(DATA, `${name}.json`), 'utf8'));
+const chess = load('chess');
+const tokens = load('tokens');
+const backups = load('backups');
+const effects = load('effects');
+const raw = (f) => JSON.parse(readFileSync(join(CACHE, 'excel', `${f}.json`), 'utf8'));
+const talent = (rec, name) => rec.talents.find((t) => t.name === name);
+
+test('刺玫 at every potential: 潜能1 ATK 413 / cost 17 / 70 s and 土壤基肥改良 8%, each step at its rank, 潜能6 = the record itself', () => {
+  const v = chess.chess_char_1_06_a;
+  const at = (p) => atPotential(v, p);
+  const row = (p) => [at(p).stats.atk, at(p).stats.cost, at(p).stats.respawnTime, talent(at(p), '土壤基肥改良').bb.heal_scale];
+  assert.deepEqual(row(1), [413, 17, 70, 1.08]);
+  assert.deepEqual(row(2), [413, 16, 70, 1.08], '潜能2 部署费用-1');
+  assert.deepEqual(row(3), [413, 16, 66, 1.08], '潜能3 再部署时间-4秒');
+  assert.deepEqual(row(4), [435, 16, 66, 1.08], '潜能4 攻击力+22');
+  assert.deepEqual(row(5), [435, 16, 66, 1.11], '潜能5 天赋效果增强');
+  assert.deepEqual(row(6), [435, 15, 66, 1.11], '潜能6 部署费用-1');
+  assert.equal(at(6), v, 'full potential is the record itself');
+  assert.equal(at(null), v);
+  assert.equal(talent(at(1), '土壤基肥改良').desc, '攻击范围内生命上限最高的友方角色受到的治疗效果提升8%');
+  // the elite: statsBase and stats move together, the talent from its own E2 candidates
+  const e = chess.chess_char_1_06_b;
+  assert.deepEqual([atPotential(e, 1).stats.atk, atPotential(e, 1).statsBase.atk, atPotential(e, 1).stats.cost], [531, 508, 17]);
+  assert.equal(talent(atPotential(e, 4), '土壤基肥改良').bb.heal_scale, 1.15);
+});
+
+test('a resolved record carries no annotation; the full record minus them is what 0.2.1 shipped (the stats and talents of 潜能6)', () => {
+  let n = 0;
+  for (const c of Object.values(chess)) {
+    if (c.isDiy || !c.charId) continue;
+    for (let p = 1; p <= 5; p++) {
+      const r = atPotential(c, p);
+      assert.notEqual(r, c);
+      assert.equal(JSON.stringify(r).match(/"pot(Down|Min|Below)"/), null, `${c.chessId} @${p}`);
+    }
+    if (hasPotentialData(c)) n++;
+  }
+  assert.ok(n >= 250, `chess records that change below full potential: ${n}`);
+  // composed lists never carry chains (shared/loadoutRecord.js composeTalents)
+  const e = chess.chess_char_1_06_b;
+  assert.equal(JSON.stringify(composeTalents(e.talentsBase, e.modules[0].talentChanges)).includes('potBelow'), false);
+  assert.deepEqual(stripPotential({ a: [{ potMin: 4, potBelow: { x: 1 }, x: 2 }], potDown: { 0: {} } }), { a: [{ x: 2 }] });
+});
+
+test('every chess and 自选 form at every potential: the raw keyframes plus the potential steps up to it (character_table)', { skip: !HAS_CACHE && 'no .cache/gamedata' }, () => {
+  const CT = raw('character_table');
+  const KEY = { MAX_HP: 'maxHp', ATK: 'atk', DEF: 'def', MAGIC_RESISTANCE: 'res', COST: 'cost', RESPAWN_TIME: 'respawnTime', ATTACK_SPEED: 'aspd' };
+  const steps = (charId, rank) => {
+    const out = {};
+    for (const r of (CT[charId].potentialRanks || []).slice(0, rank)) {
+      for (const m of r.buff?.attributes?.attributeModifiers || []) out[KEY[m.attributeType]] = (out[KEY[m.attributeType]] || 0) + m.value;
+    }
+    return out;
+  };
+  const frame = (charId, phase, level) => {
+    const P = CT[charId].phases[phase];
+    const k0 = P.attributesKeyFrames[0], k1 = P.attributesKeyFrames[P.attributesKeyFrames.length - 1];
+    const t = (level - k0.level) / (k1.level - k0.level || 1);
+    const f = (key) => k0.data[key] + (k1.data[key] - k0.data[key]) * t;
+    return { maxHp: f('maxHp'), atk: f('atk'), def: f('def'), res: f('magicResistance'), cost: f('cost'), respawnTime: f('respawnTime'), aspd: f('attackSpeed') };
+  };
+  const check = (label, charId, status, stats, rank) => {
+    const exp = frame(charId, status.phase, status.level);
+    for (const [k, v] of Object.entries(steps(charId, rank))) exp[k] += v;
+    for (const [k, v] of Object.entries(exp)) assert.ok(Math.abs(v - stats[k]) <= 0.5 + 1e-9, `${label} rank ${rank}: ${k} ${stats[k]} vs official ${v}`);
+  };
+  let n = 0;
+  for (const c of Object.values(chess)) {
+    if (c.isDiy || !c.charId) continue;
+    for (let rank = 0; rank <= FULL_RANK; rank++) { const r = atRank(c, rank); check(c.chessId, c.charId, c.status, r.statsBase ?? r.stats, rank); n++; }
+  }
+  assert.equal(n, 258 * 6);
+  let forms = 0;
+  for (const [charId, u] of Object.entries(backups.units)) {
+    for (const f of Object.values(u.forms)) {
+      for (let rank = 0; rank <= FULL_RANK; rank++) check(`${charId}@${f.status.phase}/${f.status.level}`, charId, f.status, atRank(f, rank).stats, rank);
+      forms++;
+    }
+  }
+  assert.equal(forms, 256);
+});
+
+test('talent candidates at every potential: each talent is the last one unlocked with requiredPotentialRank ≤ the rank', { skip: !HAS_CACHE && 'no .cache/gamedata' }, () => {
+  const CT = raw('character_table');
+  const PH = { PHASE_0: 0, PHASE_1: 1, PHASE_2: 2 };
+  const ok = (c, phase, level, rank) => {
+    const u = c.unlockCondition;
+    const p = PH[u?.phase ?? 'PHASE_0'];
+    return (c.requiredPotentialRank || 0) <= rank && (p < phase || (p === phase && (u?.level || 1) <= level));
+  };
+  let moved = 0;
+  const checkList = (label, charId, status, list) => {
+    for (let rank = 0; rank <= FULL_RANK; rank++) {
+      (CT[charId].talents || []).forEach((t, index) => {
+        const cands = (t.candidates || []).filter((x) => ok(x, status.phase, status.level, rank));
+        const best = cands[cands.length - 1];
+        if (!best || (!best.name && !best.description && !best.blackboard.length && !best.tokenKey)) return;
+        const rec = talentAtRank(list.find((x) => x.index === index), rank);
+        assert.ok(rec, `${label} talent ${index}`);
+        for (const b of best.blackboard) if (!(b.valueStr && b.value === 0)) assert.ok(Math.abs(rec.bb[b.key] - b.value) < 1e-9, `${label} talent ${index} rank ${rank} ${b.key}: ${rec.bb[b.key]} vs ${b.value}`);
+        if (rank === 0 && (best.requiredPotentialRank || 0) === 0 && (CT[charId].talents[index].candidates || []).some((x) => (x.requiredPotentialRank || 0) > 0 && ok(x, status.phase, status.level, FULL_RANK))) moved++;
+      });
+    }
+  };
+  for (const c of Object.values(chess)) {
+    if (c.isDiy || !c.charId) continue;
+    checkList(c.chessId, c.charId, c.status, c.talentsBase ?? c.talents);
+  }
+  for (const [charId, u] of Object.entries(backups.units)) for (const f of Object.values(u.forms)) checkList(`${charId}@${f.status.phase}/${f.status.level}`, charId, f.status, f.talents);
+  assert.ok(moved >= 150, `talents whose potential step moves them: ${moved}`);
+});
+
+test('summons follow their owner\'s potential: Mon3tr 不毁重构 3 s / 1200 below 潜能5, 望\'s 棋子 6 deployed / 7 held below 潜能3, “小自在” 15 层', () => {
+  const mon = backups.tokens.token_10002_kalts_mon3tr.variants['char_003_kalts@2/1/4/0'];
+  assert.deepEqual([atPotential(mon, 4).talents[1].bb.stun, atPotential(mon, 4).talents[1].bb.value], [3, 1200]);
+  assert.deepEqual([atPotential(mon, 5).talents[1].bb.stun, atPotential(mon, 5).talents[1].bb.value], [3.5, 1400]);
+  const stone = backups.tokens.token_10064_wang_stone1.variants['char_2027_wang@2/1/4/0'];
+  assert.deepEqual([atPotential(stone, 2).stats.deployLimit, atPotential(stone, 2).stats.deckStack], [6, 7]);
+  assert.deepEqual([atPotential(stone, 3).stats.deployLimit, atPotential(stone, 3).stats.deckStack], [7, 8]);
+  const tvar = backups.tokens.token_10064_wang_stone1.variants['char_2027_wang@2/60/7/1'];
+  assert.equal(atPotential(tvar, 1).byModule.uniequip_002_wang.stats.deployLimit, 7, 'TRP-X: 6 + 1 below 潜能3');
+  assert.equal(tvar.byModule.uniequip_002_wang.stats.deployLimit, 8);
+  // tokens.json: 夕's “小自在” 化境 18 → 15 层 below 潜能5
+  const dusk = tokens.token_10015_dusk_drgn.variants.chess_char_5_12_a;
+  assert.deepEqual([atPotential(dusk, 4).talents[0].bb.max_stack_cnt, dusk.talents[0].bb.max_stack_cnt], [15, 18]);
+  // the owner's own talent text follows too (望's kit reads 「最多拥有N枚」 from it)
+  assert.match(atPotential(backups.units.char_2027_wang.forms['2/60/7/1'], 1).talents[0].desc, /最多拥有7枚/);
+});
+
+test('练度 (自持有): the CHAR_MAP effects in cultivateEffectList order, their char_attribute_mul as ×ATK / ×DEF / ×HP', { skip: !HAS_CACHE && 'no .cache/gamedata' }, () => {
+  const list = raw('activity_table').autoChessData.cultivateEffectList.slice().sort((a, b) => a.cultivateNum - b.cultivateNum);
+  assert.deepEqual(list.map((x) => x.effectId), [...CULTIVATE_EFFECTS]);
+  list.forEach((row, tier) => {
+    const m = cultivateMul(effects, tier);
+    assert.equal(effects[row.effectId].effectType, 'CHAR_MAP');
+    assert.deepEqual([m.atk, m.def, m.hp].map((x) => Math.round((x - 1) * 100)), [row.atkPer, row.defPer, row.hpPer], row.effectId);
+  });
+});
+
+test('练度 helpers: the four tiers, the default, the products, who has neither (补位 / 原型 自选)', () => {
+  assert.deepEqual([0, 1, 2, 3].map((n) => cultivateMul(effects, n)), [
+    { atk: 1, def: 1, hp: 1 }, { atk: 1.05, def: 1.05, hp: 1 }, { atk: 1.1, def: 1.05, hp: 1.05 }, { atk: 1.1, def: 1.1, hp: 1.1 },
+  ]);
+  assert.equal(cultivateMul(effects, 4), null);
+  assert.equal(cultivateMul(effects, null), null);
+  assert.deepEqual(cultivatedStats({ atk: 435, def: 77, maxHp: 1137, cost: 15 }, cultivateMul(effects, 3)), { atk: 435 * 1.1, def: 77 * 1.1, maxHp: 1137 * 1.1, cost: 15 });
+  assert.deepEqual([POTENTIAL_DEFAULT, CULTIVATE_DEFAULT, rankOf(1), rankOf(6), rankOf(0), rankOf('6')], [6, 3, 0, 5, 5, 5]);
+  assert.deepEqual([isPotential(0), isPotential(1), isPotential(6), isPotential(7), isPotential(2.5)], [false, true, true, false, false]);
+  assert.deepEqual([isCultivate(-1), isCultivate(0), isCultivate(3), isCultivate(4)], [false, true, true, false]);
+  const v = chess.chess_char_1_06_a;
+  assert.deepEqual(cultivationOf(v, null), { potential: 6, cultivate: 3 }, 'no setting: 满潜满加成');
+  assert.deepEqual(cultivationOf(v, { [v.charId]: { potential: 1 } }), { potential: 1, cultivate: 3 });
+  assert.deepEqual(cultivationOf(v, { [v.charId]: { potential: 9, cultivate: 0 } }), { potential: 6, cultivate: 0 }, 'a bad value is the default');
+  assert.equal(cultivationOf({ ...v, standInFor: 'char_x' }, null), null, '补位');
+  assert.equal(cultivationOf({ ...v, diyProto: true }, null), null, '原型 自选');
+});

tools/build-data.mjs

@@ -39,6 +39,7 @@ import { Grid, DEPLOY_REFUSED_TILES } from '../server/sim/grid.js';
 import { bandBondIds } from '../shared/bandBonds.js';
 import { statusKey, composeUnitRecord, standInRecord, unitForm } from '../shared/standIn.js';
 import { extendedGrid } from '../shared/loadoutRecord.js';
+import { FULL_RANK, atRank, stripPotential } from '../shared/potential.js';
 
 // ===== CLI & IO ==================================================================================
 
@@ -284,20 +285,24 @@ function bestCandidate(cands, phase, level, potRank = 0) {
 }
 
 /**
- * The potential rank every operator fights at: FULL potential, 潜能 6 = rank 5 (character_table `potentialRanks` lists
- * ranks 1–5, the 潜能 2–6 steps; a candidate's `requiredPotentialRank` counts the same way) — the owner's decision of
- * 2026-10-07 (GitHub #252, PR #255). The season's chess records (activity_table charChessDataDict `status`: evolvePhase,
- * charLevel, skillLevel, favorPoint 0, equipLevel) carry no potential field, while a tournament video shows 刺玫
- * (chess_char_1_06_a) at ATK 435 and cost 15: her E1 Lv55 413 / 17 plus her potentials 攻击力+22 and two 部署费用-1. Every
- * chess (normal and elite), 补位 stand-in and 自选 pick is built at this rank: its `potentialRanks` attribute modifiers are
- * added (withPotential) and its talent / trait / module candidates are picked at it (the 「天赋效果增强」 steps). The 原型干员
- * stand-ins have no potential ranks (unchanged). A summon picks its own talent / trait candidates at its owner's rank —
- * their `requiredPotentialRank` mirrors the owner's 「天赋效果增强」 (夕's “小自在” 化境 15 → 18 层, 凯尔希's Mon3tr 不毁重构,
- * 望's 棋子 +1 持有 / 部署) — and takes none of the owner's attribute modifiers (a token has no potential ranks; the owner's
+ * Potential (潜能) is a per-player runtime input (0.2.2, the owner's decision of 2026-10-08: 「调配干员里自己设置吧，默认满潜
+ * 满加成」; 0.2.1 baked full potential in, DESIGN §26.14). Official: 调度手册 「卫戍协议中干员潜能由自身已持有干员潜能决定」 —
+ * the season's chess records (activity_table charChessDataDict `status`: evolvePhase, charLevel, skillLevel, favorPoint 0,
+ * equipLevel) carry no potential field; a tournament video shows 刺玫 (chess_char_1_06_a) at ATK 435 and cost 15 (her
+ * E1 Lv55 413 / 17 plus 攻击力+22 and two 部署费用-1: an account at full potential). Ranks count like character_table
+ * `potentialRanks` (ranks 1–5 = the 潜能 2–6 steps) and a candidate's `requiredPotentialRank`.
+ * The builders take the rank from `ctx.potRank`: main() runs the chess / backups / tokens builders once per rank (0–5)
+ * and keeps the FULL-potential build (潜能 6 = rank 5, FULL_RANK: the default and what the data's own fields
+ * hold) annotated with what every lower rank changes (attachPotential: `potDown` leaves, chained talent entries —
+ * shared/potential.js, docs/DATA.md §2.3); a self-check proves shared/potential.js atRank rebuilds every rank exactly.
+ * At a rank, every chess (normal and elite), 补位 / 自选 unit form adds the `potentialRanks` attribute modifiers up to it
+ * (withPotential) and picks its talent / trait / module candidates at it (the 「天赋效果增强」 steps). The 原型干员
+ * stand-ins have no potential ranks. A summon picks its own talent / trait candidates at its owner's rank — their
+ * `requiredPotentialRank` mirrors the owner's 「天赋效果增强」 (夕's “小自在” 化境 15 → 18 层, 凯尔希's Mon3tr 不毁重构, 望's
+ * 棋子 +1 持有 / 部署) — and takes none of the owner's attribute modifiers (a token has no potential ranks; the owner's
  * ATK / cost / redeploy steps are the owner's own). Stage devices and the band's map characters are no player's
  * operators: rank 0.
  */
-const OPERATOR_POTENTIAL = 5;
 
 /** character_table potential attribute types → interpolateAttrs keys (every potential modifier of the season is an ADDITION). */
 const POTENTIAL_ATTRS = Object.freeze({
@@ -757,7 +762,7 @@ function moduleAttr(modulePhase) {
  * An override of an existing talent keeps the base values that the module candidate does not
  * restate (blackboard keys merged, module values win; name/text/range/token kept when absent).
  * `modPhase`/`modLevel` select module candidates (tokens: the owner's phase/level); `potRank` every candidate (tokens:
- * the owner's potential rank, OPERATOR_POTENTIAL).
+ * the owner's potential rank, ctx.potRank).
  * @returns {Array<{index:number,name:string|null,desc:string|null,descRaw:string|null,bb:object,bbStr:object,rangeGrid:any,tokenKey:string|null,hidden:boolean,fromModule:boolean}>}
  */
 function buildTalents(ctx, char, phase, level, moduleParts, label, modPhase = phase, modLevel = level, potRank = 0) {
@@ -980,8 +985,8 @@ function buildChess(ctx) {
     // Module parts flagged isToken upgrade the summons, not the operator (see splitModuleParts).
     const moduleParts = splitModuleParts(modulePhase);
 
-    // Stats at full potential (OPERATOR_POTENTIAL, withPotential) (+ module attribute bonus on golden).
-    const attrs = withPotential(char, interpolateAttrs(char, phase, level), OPERATOR_POTENTIAL, `chess ${chessId}`);
+    // Stats at the pass's potential rank (ctx.potRank, withPotential) (+ module attribute bonus on golden).
+    const attrs = withPotential(char, interpolateAttrs(char, phase, level), ctx.potRank, `chess ${chessId}`);
     if (!attrs) warn(`chess ${chessId}: cannot interpolate attributes`);
     const bonus = {};
     for (const b of modulePhase?.attributeBlackboard || []) bonus[b.key] = (bonus[b.key] || 0) + b.value;
@@ -991,7 +996,7 @@ function buildChess(ctx) {
     // Trait (character trait candidate + module trait override on golden).
     // Trait-effect range (e.g. 散射手 front row, 傀儡师 substitute area) — NOT the attack range.
     const rangeId = char.phases?.[phase]?.rangeId || null;
-    const traitDefault = traitRecord(ctx, char, phase, level, moduleParts.op, chessId, OPERATOR_POTENTIAL);
+    const traitDefault = traitRecord(ctx, char, phase, level, moduleParts.op, chessId, ctx.potRank);
     rec.trait = traitDefault.trait;
     rec.rangeId = rangeId;
     rec.rangeGrid = rangeGrid(ctx, rangeId);
@@ -1021,16 +1026,16 @@ function buildChess(ctx) {
     }
     rec.skills = skillRecs.map((s) => ({ ...s, isDefault: s.index === sIdx }));
 
-    // Talents at full potential (module token parts excluded: they belong to the summons).
-    const talentList = baseTalentList(ctx, char, phase, level, `chess ${chessId}`, OPERATOR_POTENTIAL);
-    rec.talents = mergeTalentChanges(talentList, moduleTalentChanges(ctx, moduleParts.op, phase, level, `chess ${chessId}`, OPERATOR_POTENTIAL));
+    // Talents at the pass's potential rank (module token parts excluded: they belong to the summons).
+    const talentList = baseTalentList(ctx, char, phase, level, `chess ${chessId}`, ctx.potRank);
+    rec.talents = mergeTalentChanges(talentList, moduleTalentChanges(ctx, moduleParts.op, phase, level, `chess ${chessId}`, ctx.potRank));
 
     // Selectable modules of the golden chess (DESIGN §16): every ADVANCED uniequip of the character
     // (INITIAL = "no module") at the chess equipLevel, plus the no-module base the choices apply to.
     const moduleAlts = [];
     if (isGolden && equipLevel > 0) {
       rec.statsBase = statsFrom(attrs, {});
-      rec.traitBase = traitRecord(ctx, char, phase, level, [], chessId, OPERATOR_POTENTIAL).trait;
+      rec.traitBase = traitRecord(ctx, char, phase, level, [], chessId, ctx.potRank).trait;
       rec.talentsBase = mergeTalentChanges(talentList, []);
       rec.modules = [];
       for (const id of uniequip.charEquip?.[shop.charId] || []) {
@@ -1039,8 +1044,8 @@ function buildChess(ctx) {
         const ph = battleEquip[id]?.phases?.find((p) => p.equipLevel === equipLevel) || null;
         if (!ph) { warn(`chess ${chessId}: module ${id} has no level ${equipLevel} (not selectable)`); continue; }
         const parts = splitModuleParts(ph);
-        const hasTraitPart = parts.op.some((pt) => bestCandidate(pt.overrideTraitDataBundle?.candidates, phase, level, OPERATOR_POTENTIAL));
-        const tr = hasTraitPart ? traitRecord(ctx, char, phase, level, parts.op, chessId, OPERATOR_POTENTIAL) : null;
+        const hasTraitPart = parts.op.some((pt) => bestCandidate(pt.overrideTraitDataBundle?.candidates, phase, level, ctx.potRank));
+        const tr = hasTraitPart ? traitRecord(ctx, char, phase, level, parts.op, chessId, ctx.potRank) : null;
         if (tr && JSON.stringify(tr.classify) !== JSON.stringify(traitDefault.classify)) {
           warn(`chess ${chessId}: module ${id} changes the combat classification (not applied by loadouts)`);
         }
@@ -1051,7 +1056,7 @@ function buildChess(ctx) {
           isDefault: id === modId, level: equipLevel,
           attr: moduleAttr(ph),
           traitOverride: tr ? tr.trait : null,
-          talentChanges: moduleTalentChanges(ctx, parts.op, phase, level, `chess ${chessId}`, OPERATOR_POTENTIAL),
+          talentChanges: moduleTalentChanges(ctx, parts.op, phase, level, `chess ${chessId}`, ctx.potRank),
         });
         if (id !== modId) moduleAlts.push({ id, modulePhase: ph, moduleTokenParts: parts.token });
       }
@@ -1110,7 +1115,7 @@ function buildChess(ctx) {
       });
       if (!tokenOwners.has(tokenId)) tokenOwners.set(tokenId, []);
       tokenOwners.get(tokenId).push({
-        chessId, charId: shop.charId, phase, level, skillIndex: sIdx, skillLevel, potRank: OPERATOR_POTENTIAL,
+        chessId, charId: shop.charId, phase, level, skillIndex: sIdx, skillLevel, potRank: ctx.potRank,
         count: defUse.count(tokenId), golden: isGolden, modulePhase, moduleTokenParts: moduleParts.token,
         // 'display' only = listed by the character but not produced by this chess's default skill or talents.
         sources: ['talent', 'skill', 'display'].filter((s) => src.has(s)),
@@ -1213,11 +1218,11 @@ function buildUnitForm(ctx, charId, status, { chessId = null, skillIndex = null
   const char = charTable[charId];
   const { phase, level, skillLevel, equipLevel } = status;
   const label = chessId ? `chess ${chessId}` : `unit ${charId}@${statusKey(status)}`;
-  const attrs = withPotential(char, interpolateAttrs(char, phase, level), OPERATOR_POTENTIAL, label);
+  const attrs = withPotential(char, interpolateAttrs(char, phase, level), ctx.potRank, label);
   if (!attrs) warn(`${label}: cannot interpolate attributes`);
   const stats = statsFrom(attrs, {});
   const rangeId = char.phases?.[phase]?.rangeId || null;
-  const base = traitRecord(ctx, char, phase, level, [], chessId || charId, OPERATOR_POTENTIAL);
+  const base = traitRecord(ctx, char, phase, level, [], chessId || charId, ctx.potRank);
   const skills = [];
   (char.skills || []).forEach((se, i) => {
     if (!se?.skillId || (i !== skillIndex && !unlocked(se.unlockCond, phase, level))) return;
@@ -1228,7 +1233,7 @@ function buildUnitForm(ctx, charId, status, { chessId = null, skillIndex = null
     s.overrideTokenKey = se.overrideTokenKey || null;
     skills.push(s);
   });
-  const talents = mergeTalentChanges(baseTalentList(ctx, char, phase, level, label, OPERATOR_POTENTIAL), []);
+  const talents = mergeTalentChanges(baseTalentList(ctx, char, phase, level, label, ctx.potRank), []);
   const modules = [];
   if (equipLevel > 0) {
     for (const id of uniequip.charEquip?.[charId] || []) {
@@ -1237,8 +1242,8 @@ function buildUnitForm(ctx, charId, status, { chessId = null, skillIndex = null
       const ph = battleEquip[id]?.phases?.find((p) => p.equipLevel === equipLevel) || null;
       if (!ph) { warn(`${label}: module ${id} has no level ${equipLevel} (not selectable)`); continue; }
       const parts = splitModuleParts(ph);
-      const hasTraitPart = parts.op.some((pt) => bestCandidate(pt.overrideTraitDataBundle?.candidates, phase, level, OPERATOR_POTENTIAL));
-      const tr = hasTraitPart ? traitRecord(ctx, char, phase, level, parts.op, chessId || charId, OPERATOR_POTENTIAL) : null;
+      const hasTraitPart = parts.op.some((pt) => bestCandidate(pt.overrideTraitDataBundle?.candidates, phase, level, ctx.potRank));
+      const tr = hasTraitPart ? traitRecord(ctx, char, phase, level, parts.op, chessId || charId, ctx.potRank) : null;
       if (tr && JSON.stringify(tr.classify) !== JSON.stringify(base.classify)) warn(`${label}: module ${id} changes the combat classification (not applied by loadouts)`);
       modules.push({
         uniEquipId: id, name: meta.uniEquipName || null,
@@ -1246,7 +1251,7 @@ function buildUnitForm(ctx, charId, status, { chessId = null, skillIndex = null
         typeIcon: meta.typeIcon || null, icon: meta.uniEquipIcon || id, level: equipLevel,
         attr: moduleAttr(ph),
         traitOverride: tr ? tr.trait : null,
-        talentChanges: moduleTalentChanges(ctx, parts.op, phase, level, label, OPERATOR_POTENTIAL),
+        talentChanges: moduleTalentChanges(ctx, parts.op, phase, level, label, ctx.potRank),
       });
     }
   }
@@ -1299,7 +1304,7 @@ function buildBackups(ctx, chess) {
     const b = c.backup;
     if (c.chessType !== 'NORMAL' || !b?.charId || b.charId === c.charId) continue;
     if (!charTable[b.charId]) { warn(`chess ${c.chessId}: backup ${b.charId} missing from character_table`); continue; }
-    if (b.potRank !== 0) warn(`chess ${c.chessId}: backup potential ${b.potRank} (every unit form is built at full potential, OPERATOR_POTENTIAL)`);
+    if (b.potRank !== 0) warn(`chess ${c.chessId}: backup potential ${b.potRank} (a 补位 stand-in fights without potential: not applied)`);
     if (b.tmplId) warn(`chess ${c.chessId}: backup template ${b.tmplId} is not built`);
     addNeed(b.charId, c.status);
     if (!c.isGolden) standsIn.set(b.charId, [...(standsIn.get(b.charId) || []), c.chessId]);
@@ -1441,7 +1446,7 @@ const TOKEN_DECK_KEYS = Object.freeze(['max_deploy_count', 'max_deck_stack_cnt']
  * reads the frame only): PRTS 幻影 备注 "每次部署夜莺时获得2个可部署的幻影，最大可部署数量为3" (1 + 2); the owners' own
  * talents "最多同时部署3个" (麦哲伦 / 令: 1 + 2), "最多可部署2个" (白铁: 1 + 1); SUM-Y stage 2+ "最多同时部署4个" — its token part
  * (the same talent, max_deploy_count 3) replaces the talent's values. The candidates as everywhere: the token's phase /
- * level at its owner's potential rank (`potRank`, OPERATOR_POTENTIAL: 望's 棋子 takes its rank-2 candidate, +1 持有 / 部署 —
+ * level at its owner's potential rank (`potRank`, ctx.potRank: 望's 棋子 takes its rank-2 candidate, +1 持有 / 部署 —
  * 望's 潜能 3 「第一天赋效果增强」); a module's token part (`moduleTokenParts`, unlocked at the owner's
  * phase / level as moduleTalentChanges) replaces the base candidate of the same prefabKey key by key (mergeTalentChanges:
  * what it does not restate stays) — matched by prefabKey, not talentIndex (夜莺's RIN-Y stage 3 part names talentIndex 0
@@ -1469,8 +1474,8 @@ function tokenTalentDeckBonus(char, phase, level, moduleTokenParts, modPhase, mo
 /**
  * Build one owner-specific variant of a token / map character at (phase, level, skill level). Its stats add the module's
  * token attributes and the summon's talent additions to its deploy limit / holding (tokenTalentDeckBonus). Its talent /
- * trait candidates are picked at `potRank`, its owner's potential rank (OPERATOR_POTENTIAL; a map character: 0); the
- * owner's potential attribute modifiers never reach it (OPERATOR_POTENTIAL).
+ * trait candidates are picked at `potRank`, its owner's potential rank (ctx.potRank; a map character: 0); the owner's
+ * potential attribute modifiers never reach it.
  * @returns {object}
  */
 function tokenVariant(ctx, tokenId, char, { phase, level, skillIndex, skillLevel, modulePhase, moduleTokenParts, label, potRank = 0 }) {
@@ -1656,7 +1661,7 @@ function buildDiyTokens(ctx, units, owned) {
       for (const tokenId of form.tokens) {
         const tchar = charTable[tokenId];
         const label = `token ${tokenId}@${charId}@${key}`;
-        const at = (o) => tokenVariant(ctx, tokenId, tchar, { phase, level, skillIndex: first.index, skillLevel, modulePhase: null, moduleTokenParts: [], label, potRank: OPERATOR_POTENTIAL, ...o });
+        const at = (o) => tokenVariant(ctx, tokenId, tchar, { phase, level, skillIndex: first.index, skillLevel, modulePhase: null, moduleTokenParts: [], label, potRank: ctx.potRank, ...o });
         const u0 = tokenUse(first);
         const v = { ...at({}), count: u0.count(tokenId), sources: u0.sources(tokenId) };
         let produced = makes(v.sources);
@@ -3725,6 +3730,108 @@ function buildConfig(ctx, waves, stages, bands) {
   };
 }
 
+// ===== potential (0.2.2) =========================================================================
+
+/** Keys of the talent lists whose entries chain their lower-rank values (shared/potential.js talentAtRank). */
+const POTENTIAL_TALENT_LISTS = new Set(['talents', 'talentsBase', 'talentChanges']);
+const isPlainObj = (v) => !!v && typeof v === 'object' && !Array.isArray(v);
+
+/**
+ * A talent entry built at ranks 0 … `hi` (`vals[r]`) as one chained entry: the rank-`hi` entry, with `potMin` (the
+ * lowest rank that builds the same entry) and `potBelow` (the entry below it — only the fields it changes, `desc` /
+ * `descRaw` / `bb` …, chained the same way) when a lower rank builds another one: the candidates by
+ * `requiredPotentialRank`.
+ */
+function chainTalent(vals, hi) {
+  const node = vals[hi];
+  let m = hi;
+  while (m > 0 && isDeepStrictEqual(vals[m - 1], node)) m--;
+  if (m === 0) return node;
+  const below = chainTalent(vals, m - 1);
+  const part = {};
+  for (const [k, v] of Object.entries(below)) if (k === 'potMin' || k === 'potBelow' || !isDeepStrictEqual(v, node[k])) part[k] = v;
+  return { ...node, potMin: m, potBelow: part };
+}
+
+/**
+ * The full-rank value `vals[FULL_RANK]` annotated with what the lower ranks change: talent lists chain their entries
+ * (chainTalent), every other differing leaf — or a value whose shape changes — records its exact value at each rank where
+ * it differs from the rank above in `potDown[rank][dotted.path]`.
+ */
+function annotatePotential(vals, path, potDown, label) {
+  const full = vals[FULL_RANK];
+  if (vals.every((v) => isDeepStrictEqual(v, full))) return full;
+  const key = path[path.length - 1];
+  if (POTENTIAL_TALENT_LISTS.has(key) && vals.every((v) => Array.isArray(v) && v.length === full.length)) {
+    return full.map((_, i) => chainTalent(vals.map((v) => v[i]), FULL_RANK));
+  }
+  if (isPlainObj(full) && vals.every((v) => isPlainObj(v) && isDeepStrictEqual(Object.keys(v), Object.keys(full)))) {
+    const o = {};
+    for (const k of Object.keys(full)) o[k] = annotatePotential(vals.map((v) => v[k]), [...path, k], potDown, label);
+    return o;
+  }
+  if (Array.isArray(full) && vals.every((v) => Array.isArray(v) && v.length === full.length)) {
+    return full.map((_, i) => annotatePotential(vals.map((v) => v[i]), [...path, i], potDown, label));
+  }
+  if (!path.length || path.some((k) => String(k).includes('.'))) {
+    warn(`${label}: a potential-dependent value at "${path.join('/')}" cannot be written as a potDown path`);
+    return full;
+  }
+  for (let r = FULL_RANK - 1; r >= 0; r--) {
+    if (!isDeepStrictEqual(vals[r], vals[r + 1])) (potDown[r] ||= {})[path.join('.')] = vals[r];
+  }
+  return full;
+}
+
+/**
+ * One record / form / variant built at every rank (`vals[r]`, r = 0 … FULL_RANK) as its full-rank build annotated for
+ * the lower ranks (annotatePotential; `potDown` last, only when something differs), checked: shared/potential.js
+ * atRank must rebuild every rank exactly (an error otherwise).
+ * @returns {object} the annotated full-rank value
+ */
+function withPotentialData(vals, label, errors) {
+  const potDown = {};
+  const out = annotatePotential(vals, [], potDown, label);
+  const res = Object.keys(potDown).length && isPlainObj(out) ? { ...out, potDown } : out;
+  for (let r = 0; r <= FULL_RANK; r++) {
+    if (!isDeepStrictEqual(stripPotential(atRank(res, r)), stripPotential(vals[r]))) errors.push(`potential ${label}: shared/potential.js atRank does not rebuild rank ${r}`);
+  }
+  return res;
+}
+
+/**
+ * Annotate the full-potential build with every lower rank (docs/DATA.md §2.3): each chess record, each backups.json unit
+ * form and each token variant (data/tokens.json and backups.json `tokens`: the owner's potential — a record's top-level
+ * defaults stay the first owner's full-potential ones). `passes[r]` = { chess, backups, tokens } built at rank r.
+ * @returns {string[]} errors (an atRank mismatch, a record missing at a rank)
+ */
+function attachPotential(passes) {
+  const errors = [];
+  const full = passes[FULL_RANK];
+  for (const id of Object.keys(full.chess)) {
+    const vals = passes.map((p) => p.chess[id]);
+    if (vals.some((v) => !v)) { errors.push(`potential chess ${id}: missing at a rank`); continue; }
+    full.chess[id] = withPotentialData(vals, `chess ${id}`, errors);
+  }
+  for (const [charId, unit] of Object.entries(full.backups.units)) {
+    for (const key of Object.keys(unit.forms)) {
+      const vals = passes.map((p) => p.backups.units[charId]?.forms?.[key]);
+      if (vals.some((v) => !v)) { errors.push(`potential unit ${charId}@${key}: missing at a rank`); continue; }
+      unit.forms[key] = withPotentialData(vals, `unit ${charId}@${key}`, errors);
+    }
+  }
+  for (const [file, pick] of [['tokens', (p) => p.tokens], ['backups tokens', (p) => p.backups.tokens]]) {
+    for (const [tokenId, rec] of Object.entries(pick(full))) {
+      for (const owner of Object.keys(rec.variants || {})) {
+        const vals = passes.map((p) => pick(p)[tokenId]?.variants?.[owner]);
+        if (vals.some((v) => !v)) { errors.push(`potential ${file} ${tokenId}@${owner}: missing at a rank`); continue; }
+        rec.variants[owner] = withPotentialData(vals, `${file} ${tokenId}@${owner}`, errors);
+      }
+    }
+  }
+  return errors;
+}
+
 // ===== validation ===============================================================================
 
 /** Recursively find non-finite numbers (NaN/Infinity would silently become null in JSON). */
@@ -3936,15 +4043,23 @@ async function main() {
   const t0 = Date.now();
   const ctx = await loadContext();
   log('building…');
-  const { chess, tokenOwners } = buildChess(ctx);
-  const backups = buildBackups(ctx, chess);
+  // one pass of the operator builders per potential rank (潜能 1–6, ctx.potRank): the full-potential pass is the data,
+  // annotated below with what every lower rank changes (attachPotential)
+  const passes = [];
+  for (let r = 0; r <= FULL_RANK; r++) {
+    const pctx = { ...ctx, potRank: r };
+    const built = buildChess(pctx);
+    passes.push({ ctx: pctx, chess: built.chess, tokenOwners: built.tokenOwners, backups: buildBackups(pctx, built.chess) });
+  }
+  const { chess, backups } = passes[FULL_RANK];
   const effects = buildEffects(ctx);
   const bonds = buildBonds(ctx, chess, effects);
   const garrisons = buildGarrisons(ctx, chess);
   const items = buildItems(ctx, effects);
   const bands = buildBands(ctx, effects);
   const enemies = buildEnemies(ctx);
-  const tokens = buildTokens(ctx, chess, tokenOwners, enemies);
+  for (const p of passes) p.tokens = buildTokens(p.ctx, p.chess, p.tokenOwners, enemies);
+  const tokens = passes[FULL_RANK].tokens;
   const waves = buildWaves(ctx, enemies);
   const stages = buildStages(ctx, ctx.act.modeDataDict);
   const factions = buildFactions(ctx, enemies);
@@ -3956,7 +4071,9 @@ async function main() {
   const config = buildConfig(ctx, waves, stages, bands);
   const files = { config, chess, bonds, garrisons, items, bands, effects, choices, enemies, factions, waves, stages, bosses, tokens, backups };
 
-  const errors = [...validateAll(files), ...checkUnitFormParity(ctx, chess)];
+  // the unit forms rebuild every PRESET chess at every rank (before the annotation: each pass as built)
+  const errors = [...validateAll(files), ...passes.flatMap((p) => checkUnitFormParity(p.ctx, p.chess).map((e) => `${e} (potential rank ${p.ctx.potRank})`))];
+  errors.push(...attachPotential(passes));
   let total = 0;
   const sizes = {};
   const texts = {};