Playtest #6 follow-up (v2.5.1): leader HP review — 直接乘算, one debuff instance, 999 layer cap, 限伤; elite to the board; 假想敌：胄 kit

- co-op leaders died within seconds: leader HP is the official data (40 values pinned); bond / strategy / item /
  机变 / 特质 "+X%" bonuses now add up (PRTS 直接乘算) instead of compounding; a same-named enemy debuff keeps one
  (strongest) instance per target (奥术 across a pair field); leader parts pass damage 1:1; fixed co-op pool (the user's call)
- official limits read from the client: each bond stops at 999 layers (MAX_GARRISON_STACK); a leader hit of 300000+ in
  boss / hidden battles is cancelled (MAX_BATTLE_DAMAGE, 限伤) — shared/constants.js switches, research 11
- a merge that consumes a deployed copy puts the elite on that tile and facing (user-confirmed); gold target highlight,
  promotion effect
- 假想敌：胄 per PRTS: one shell, shells within range, any drone death costs 2 % max HP, 剑/锤 sorties and 瘫痪
- DESIGN §20.10–§20.14; 2842 unit tests, all 28 browser suites green; Chrome = Node on boss fields

docs/research/02-bonds.md

@@ -51,7 +51,7 @@ Core (isPower, bondType SEASON): 炎 萨尔贡 维多利亚 谢拉格 拉特兰
 - DIY (自选) chess slots chess_char_5_diy1/2 and chess_char_6_diy1/2 have bondIds [] and are filled with a 6-star operator the player owns (diyChessDict = TIER_6). Their bond is derived from the chosen operator's nationId/groupId/teamId matched against autoChessData.bondInfoDict[*].powerIdList (e.g. yan: yan,sui,lungmen,lee,lgd; victoria: victoria,glasgow; kjerag: kjerag,karlan; egir: egir,abyssal; siracusa: siracusa,chiave; kazimierz: kazimierz,pinus; sargon; laterano). No match -> constData.fallbackBondId = emptyShip (协防干员). (bwiki: operators from those nations get the nation alliance, "others receive the 协防 designation".)
 - Prototype substitution: a NORMAL chess whose operator the player does not own is fielded as its backupCharId (预备干员 / 原型干员) but keeps the chess's bonds and traits (PRTS: "烛煌（或对应的原型干员）").
 - Mode filter: 标准模拟 (mode_single_funny / mode_multi_funny) enables only 13 bonds (炎 萨尔贡 维多利亚 谢拉格 叙拉古 精准 迅捷 坚守 助力 远见 不屈 调和 协防干员); 拉特兰 阿戈尔 卡西米尔 灵巧 奥术 奇迹 投资人 突袭 独行 绝技 are inactive there. Training/险境/绝境/终极 enable all 23.
-- Stat math: attribute bonuses from 盟约, strategies and equipment are "直接乘算" - each is a separate multiplier on the operator's already-final stat, independent of the operator's own talents/skills (PRTS 盟约记录). E.g. 炎 +50% ATK and an item +30% ATK -> final = own_final_atk x 1.5 x 1.3.
+- Stat math: attribute bonuses from 盟约, strategies and equipment are "直接乘算" (PRTS 盟约记录 "盟约效果，策略效果，装备效果提供的属性加成均为直接乘算，与自持有干员的属性加成独立"). **Corrected 2026-10-01 (DESIGN §20.10):** 直接乘算 is PRTS's technical modifier class (游戏数据基础 属性基本公式: "直接乘算结果 D_t = t₁ + t₂ + … + tₙ", A = (A₀ + D_p)(1 + D_t); 作战机制: X₂ = X₁(1 + b₁% + b₂%), a skill's "攻击力+180%" being the example) — the values are SUMMED with each other and with the skills' "+X%"; "与自持有干员的属性加成独立" means they are separate from the **自持有加成** (PRTS 卫戍协议：盟约 下半, its own table: an operator the player really owns gets +5–10 % ATK / DEF / max HP by its real promotion — 精英1 Lv.1 +5/+5/–, 精英2 Lv.1 +10/+5/+5, 精英2 Lv.60 +10/+10/+10, the highest met applies), which the remake does not model. E.g. 炎 +50% ATK and an item +30% ATK -> final = base_atk x (1 + 0.5 + 0.3) (+ any skill %), not x 1.5 x 1.3 (the reading used until v2.5).
 - Core bonds (bondType SEASON, isPower) = 炎 萨尔贡 维多利亚 谢拉格 拉特兰 阿戈尔 叙拉古 卡西米尔 (8). The other 15 are add-on (REGULAR). bondOrder: 调和 = 1 (listed first in UI), others 2.
 - weight (10 for most, 0 for 投资人/调和/协防干员/绝技): weight used when an effect picks a random bond (e.g. SERVER_ADD_BOND_ACTIVATED_RANDOM, random bond chess) [ASSUMED meaning].
 
@@ -60,7 +60,7 @@ Core (isPower, bondType SEASON): 炎 萨尔贡 维多利亚 谢拉格 拉特兰
 - Each player has one integer layer counter L per bond (23 counters). All start at 0 when the simulation starts, are never reset between rounds and are never reduced (no layer-loss effect exists in the data) [ASSUMED: never reduced].
 - L is kept while the bond is inactive, but bond effects only apply while the bond is active (PRTS 盟约记录).
 - Wording contract used by every source: "使已激活的【X】层数+N" -> add only if bond X is active at the moment of the trigger; "（无需激活盟约）" -> add even if X is inactive. "自身所属盟约" = every bond of that operator; "自身已激活的盟约" = only its bonds that are active.
-- No global layer cap. Caps are per source: max_add_count_per_battle (layers a single garrison instance may add in one battle), max_layer (per round, e.g. 安洁莉娜 12/round).
+- No layer cap in the data. Caps are per source: max_add_count_per_battle (layers a single garrison instance may add in one battle), max_layer (per round, e.g. 安洁莉娜 12/round). The official cap is in the client, not the data: `AutoChessBattleConst.MAX_GARRISON_STACK = 999`, `AddBondCount` stores `min(L + n, 999)` per bond (research 11 §1). Since 2026-10-01 (DESIGN §20.12) the remake stops each bond at 999 (`shared/constants.js BOND_LAYER_CAP`, `layerGainRoom`); the community agrees (巴哈姆特 12534 "每把都能999层", "沒999層的盟約情況下"; 12316 "999謝").
 - Layers gained in battle persist after the battle and immediately affect formulas that read L [ASSUMED live update: recompute bond buffs whenever L changes; the reference game uses env_gbuff that reads current stacks].
 - IN_BATTLE layer gains are disabled while fighting for a teammate in the 联防 (Unite) phase and in the leader/boss round (巴哈姆特 snA=12294; arknights.wiki.gg: "Players cannot gain stacks via Combat-related Operator Attributes when assisting other players in the Unite Phase").
 - 魔王 (garrison_59, emptyShip): whenever the operator on the tile in front of 魔王 raises layers through its own trait during battle, that raise gets +1 extra layer (per trigger).
@@ -655,11 +655,11 @@ Members (12 chess, 11 in current shop pool; by tier in shop: {'1': 1, '2': 2, '3
 
 **Implementable spec**
 
-- **[2 distinct]** When an 奥术 member deals magic damage, the target takes magic damage x(1.20 + 0.01*L) (i.e. +(20+L)%) for 3 s. One instance per (source unit, target); reapplying refreshes.
+- **[2 distinct]** When an 奥术 member deals magic damage, the target takes magic damage x(1.20 + 0.01*L) (i.e. +(20+L)%) for 3 s. ONE instance per target whatever applies it — the strongest value wins, a weaker one resumes if it outlasts it; reapplying refreshes (corrected 2026-10-01, DESIGN §20.10: PRTS 作战机制 "同名buff的默认叠加策略buff只能表现出一个"; 巴哈姆特 12316 first-hand "共享型buff會跟對面搶 如果對面層數比你高就不需要再特別激活直接吃他的奧術buff就行" — the two players of a pair field compete for it).
 - **[3 distinct]** Against enemies below 50% HP the multiplier is 1.4 x (1.20 + 0.01*L) = 1.68 + 0.014*L (i.e. +(68+1.4L)%).
 - Formulas: `magicTakenMul = 1.20 + 0.01*L`; `magicTakenMulLowHp(3) = 1.4*(1.20 + 0.01*L)`; `hpThreshold = 0.5`; `durationSec = 3`
 - How layers are gained: 夕 +2 per operator gained; 阿罗玛 +2 per refresh (<=6); 溯光星源 +2 per 3 gold spent; 海霓 first kill +3; 获得时: 深靛 +2, 协律 +4 (hidden). 机变 "莫斯提马的盟誓" +10.
-- [ASSUMED] instances from different 奥术 sources stack multiplicatively
+- [ASSUMED] one instance per target, the strongest (the engine's default same-name rule; the two players of a pair field compete for it). Until v2.5 this read "instances from different 奥术 sources stack multiplicatively" and the remake kept one instance per player, so two players' instances multiplied.
 - Bond item (with 变形同构体 grants this bond): 奥术法阵 `chess_item_3_08_e` (1 gold: 法术抗性+20，攻击使目标失去特殊能力5秒)
 - Garrisons that explicitly add layers to this bond: `garrison_119`, `garrison_121`, `garrison_122`, `garrison_131` (see section 4; plus the generic ones)
 - Garrisons that scale with this bond's layers: `garrison_05`