fix: resolve sync inflation, signature mismatch, CP accuracy, auto-buy cap, unlock hints

- #147: Guard all patch functions with hasChanged before incrementing
  sync counter to prevent inflation on no-op patches
- #148: Clear stale HMAC signature after each boss fight so subsequent
  auto-saves do not send a mismatched signature
- #146: Auto-unlock adventurer-specific upgrades in applyTick when
  their adventurer count > 0; show recruit hint in upgrade panel
- #149: Add Essence/s row to resource bar dropdown
- #150: Fix broken auto-quest CP reduce formula; centralise via
  computePartyCombatPower which applies all multipliers correctly
- #151: Cap auto-buy at 100 for non-max-tier adventurers; max tier
  (highest level unlocked) remains uncapped
- #152: Export computePartyCombatPower from tick, applying global
  upgrades, prestige, equipment, set bonuses, echo, crafted, and
  companion multipliers; use it in resource bar and boss panel

apps/web/src/components/game/bossPanel.tsx

@@ -11,10 +11,11 @@
 /* eslint-disable max-lines -- Boss panel with sub-component and helper function */
 import { type JSX, useState } from "react";
 import { useGame } from "../../context/gameContext.js";
+import { computePartyCombatPower } from "../../engine/tick.js";
 import { cdnImage } from "../../utils/cdn.js";
 import { LockToggle } from "../ui/lockToggle.js";
 import { ZoneSelector } from "./zoneSelector.js";
-import type { Boss, GameState } from "@elysium/types";
+import type { Boss } from "@elysium/types";
 
 interface BossCardProperties {
   readonly boss:          Boss;
@@ -157,72 +158,6 @@ const BossCard = ({
   );
 };
 
-/**
- * Computes party DPS and HP from the current game state.
- * @param state - The full game state.
- * @returns The computed party DPS and HP values.
- */
-const computePartyStats = (
-  state: GameState,
-): {
-  partyDps: number;
-  partyHp:  number;
-} => {
-  const { upgrades, adventurers, equipment, prestige } = state;
-  let globalMultiplier = 1;
-  for (const upgrade of upgrades) {
-    const { purchased, target, multiplier } = upgrade;
-    if (purchased && target === "global") {
-      globalMultiplier = globalMultiplier * multiplier;
-    }
-  }
-  const prestigeBonus = prestige.count * 0.1;
-  const prestigeMultiplier = 1 + prestigeBonus;
-  const equipmentCombatMultiplier = equipment.
-    filter((item) => {
-      return item.equipped && item.bonus.combatMultiplier !== undefined;
-    }).
-    reduce((multiplier, item) => {
-      return multiplier * (item.bonus.combatMultiplier ?? 1);
-    }, 1);
-
-  let partyDps = 0;
-  let partyHp = 0;
-  for (const adventurer of adventurers) {
-    const { count, id: adventurerId, combatPower, level } = adventurer;
-    if (count === 0) {
-      continue;
-    }
-    let adventurerMultiplier = 1;
-    for (const upgrade of upgrades) {
-      const {
-        purchased,
-        target,
-        multiplier,
-        adventurerId: upgradeAdventurerId,
-      } = upgrade;
-      if (
-        purchased
-        && target === "adventurer"
-        && upgradeAdventurerId === adventurerId
-      ) {
-        adventurerMultiplier = adventurerMultiplier * multiplier;
-      }
-    }
-    const dps
-      = combatPower
-      * count
-      * adventurerMultiplier
-      * globalMultiplier
-      * prestigeMultiplier;
-    partyDps = partyDps + dps;
-    const hp = level * 50 * count;
-    partyHp = partyHp + hp;
-  }
-  partyDps = partyDps * equipmentCombatMultiplier;
-  return { partyDps, partyHp };
-};
-
 /**
  * Renders the boss panel with zone selection and boss list.
  * @returns The JSX element.
@@ -266,7 +201,14 @@ const BossPanel = (): JSX.Element => {
     void handleChallenge(bossId);
   }
 
-  const { zones, bosses, quests, autoBoss, prestige: playerPrestige } = state;
+  const {
+    adventurers,
+    autoBoss,
+    bosses,
+    prestige: playerPrestige,
+    quests,
+    zones,
+  } = state;
 
   const activeZone = zones.find((zone) => {
     return zone.id === activeZoneId;
@@ -349,7 +291,12 @@ const BossPanel = (): JSX.Element => {
   }
 
   const autoBossOn = autoBoss === true;
-  const { partyDps, partyHp } = computePartyStats(state);
+  const partyDps = computePartyCombatPower(state);
+  let partyHp = 0;
+  for (const { level, count } of adventurers) {
+    // eslint-disable-next-line stylistic/no-mixed-operators -- level * 50 * count is clear
+    partyHp = partyHp + level * 50 * count;
+  }
   const { count: prestigeCount } = playerPrestige;
 
   return (