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/ui/resourceBar.tsx

@@ -10,7 +10,12 @@
 /* eslint-disable complexity -- Many conditional resource and badge render paths */
 import { useState, type FocusEvent, type JSX } from "react";
 import { useGame } from "../../context/gameContext.js";
-import { RESOURCE_CAP, computeGoldPerSecond } from "../../engine/tick.js";
+import {
+  RESOURCE_CAP,
+  computeEssencePerSecond,
+  computeGoldPerSecond,
+  computePartyCombatPower,
+} from "../../engine/tick.js";
 import type { Resource } from "@elysium/types";
 
 interface ResourceBarProperties {
@@ -83,12 +88,11 @@ const ResourceBar = ({
   const { gold, essence, crystals } = resources;
   let partyCombatPower = 0;
   let goldPerSecond = 0;
+  let essencePerSecond = 0;
   if (state !== null) {
-    for (const adventurer of state.adventurers) {
-      const contribution = adventurer.combatPower * adventurer.count;
-      partyCombatPower = partyCombatPower + contribution;
-    }
+    partyCombatPower = computePartyCombatPower(state);
     goldPerSecond = computeGoldPerSecond(state);
+    essencePerSecond = computeEssencePerSecond(state);
   }
 
   let avatarUrl: string | null = null;
@@ -182,6 +186,13 @@ const ResourceBar = ({
                 </span>
                 <span className="resource-label">{"Gold/s"}</span>
               </div>
+              <div className="resource">
+                <span className="resource-icon">{"⚡"}</span>
+                <span className="resource-value">
+                  {formatNumber(essencePerSecond)}
+                </span>
+                <span className="resource-label">{"Essence/s"}</span>
+              </div>
               <div className={`resource${essenceFull
                 ? " resource-full"
                 : ""}`}>