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/context/gameContext.tsx

@@ -58,6 +58,7 @@ import {
   RESOURCE_CAP,
   applyTick,
   calculateClickPower,
+  computePartyCombatPower,
 } from "../engine/tick.js";
 import { updateChallengeProgress } from "../utils/dailyChallenges.js";
 import { formatNumber as formatNumberUtil } from "../utils/format.js";
@@ -1078,11 +1079,7 @@ export const GameProvider = ({
             return q.status === "active";
           });
           if (!hasActiveQuest) {
-            // eslint-disable-next-line unicorn/no-array-reduce -- Need the total!
-            const partyCombatPower = next.adventurers.reduce((total, a) => {
-              const power = total + a.combatPower;
-              return power * a.count;
-            }, 0);
+            const partyCombatPower = computePartyCombatPower(next);
             const zoneOrder = new Map(
               next.zones.map((z, index) => {
                 return [ z.id, index ];
@@ -1120,14 +1117,31 @@ export const GameProvider = ({
           next.autoAdventurer === true
           && next.prestige.purchasedUpgradeIds.includes("auto_adventurer")
         ) {
+          const maxAdventurerLevel = Math.max(
+            ...next.adventurers.
+              filter((a) => {
+                return a.unlocked;
+              }).
+              map((a) => {
+                return a.level;
+              }),
+          );
+          const autoBuyCap = 100;
           const [ bestAdventurer ] = next.adventurers.
             filter((adventurer) => {
               const cost
                 = adventurer.baseCost * Math.pow(1.15, adventurer.count);
-              return adventurer.unlocked && next.resources.gold >= cost;
+              const isMaxTier = adventurer.level === maxAdventurerLevel;
+              const withinCap
+                = isMaxTier || adventurer.count < autoBuyCap;
+              return (
+                adventurer.unlocked
+                && next.resources.gold >= cost
+                && withinCap
+              );
             }).
             sort((adventurerA, adventurerB) => {
-              return adventurerB.combatPower - adventurerA.combatPower;
+              return adventurerB.level - adventurerA.level;
             });
           if (bestAdventurer !== undefined) {
             const purchaseCost
@@ -1346,6 +1360,13 @@ export const GameProvider = ({
                 }
                 return afterBoss;
               });
+
+              /*
+               * Boss fight modifies server state; clear stale signature so
+               * the next pre-save or auto-save does not send a mismatched one.
+               */
+              signatureReference.current = null;
+              localStorage.removeItem("elysium_save_signature");
               setAutoBossLastResult({
                 at:       Date.now(),
                 bossName: bossName,