feat: sync and patch all content stats on existing saves (#130)

## Summary

- Sync New Content now **injects** missing entries AND **patches canonical fields** on all existing entries to match current defaults
- Adventurers: stats (baseCost, combatPower, goldPerSecond, essencePerSecond, name, class, level)
- Quests: duration, prerequisites, combat requirement, rewards
- Bosses: HP, damage, rewards, prestige requirement, upgrade rewards
- Zones: unlock conditions (boss/quest required)
- Upgrades: multiplier, costs
- Equipment: bonus, cost, set membership
- Achievements: condition, reward
- Crafting: multipliers recomputed from `craftedRecipeIds` so recipe balance changes apply retroactively

Closes #126

## Test plan

- [ ] On an existing save, click Sync New Content and verify the notification reports patched counts for all content types
- [ ] Verify that rebalanced adventurer/boss/upgrade stats are reflected in the UI after syncing
- [ ] Verify that player-owned state (counts, unlock status, boss HP, quest status) is preserved after syncing
- [ ] Verify crafting multipliers are correct after syncing if any recipes were previously crafted

✨ This issue was created with help from Hikari~ 🌸

Reviewed-on: #130
Co-authored-by: Hikari <hikari@nhcarrigan.com>
Co-committed-by: Hikari <hikari@nhcarrigan.com>

packages/types/src/interfaces/api.ts

@@ -4,6 +4,7 @@
  * @license Naomi's Public License
  * @author Naomi Carrigan
  */
+/* eslint-disable max-lines -- API types file grows with each new endpoint */
 import type {
   EquipmentBonus,
   EquipmentRarity,
@@ -468,6 +469,11 @@ interface SyncNewContentResponse {
    */
   adventurersAdded: number;
 
+  /**
+   * Number of existing adventurer entries whose stats were patched to match current defaults.
+   */
+  adventurerStatsPatched: number;
+
   /**
    * Number of upgrades added to the save.
    */
@@ -513,6 +519,41 @@ interface SyncNewContentResponse {
    */
   explorationAreasAdded: number;
 
+  /**
+   * Number of achievements whose stats were updated to match current defaults.
+   */
+  achievementsPatched: number;
+
+  /**
+   * Number of bosses whose stats were updated to match current defaults.
+   */
+  bossesPatched: number;
+
+  /**
+   * Number of crafted recipes whose multiplier contribution was reapplied during recompute.
+   */
+  craftingRecipesReapplied: number;
+
+  /**
+   * Number of equipment items whose stats were updated to match current defaults.
+   */
+  equipmentPatched: number;
+
+  /**
+   * Number of quests whose stats were updated to match current defaults.
+   */
+  questsPatched: number;
+
+  /**
+   * Number of upgrades whose stats were updated to match current defaults.
+   */
+  upgradesPatched: number;
+
+  /**
+   * Number of zones whose stats were updated to match current defaults.
+   */
+  zonesPatched: number;
+
   /**
    * HMAC-SHA256 signature of the updated state for anti-cheat chain continuity.
    */