fix: persist UI preferences across navigation and sessions (#48)

## Summary

- **#35** — Adventure multiplier selection is now persisted in `localStorage` (`"elysium_batch_size"`). The chosen batch size is restored automatically on the next visit, with a graceful fallback to `1` for missing or unrecognisable values.
- **#36** — Zone selection in the boss panel and quest panel is now persisted in `sessionStorage` (`"elysium_boss_zone"` / `"elysium_quest_zone"`). The selected zone survives navigation within a session and resets cleanly when the session ends, defaulting to Verdant Vale if no stored value exists.

## Test plan

- [x] Lint — zero errors, zero warnings
- [x] Build — all packages build cleanly
- [x] Tests — 415 tests passing, 100% coverage across all packages
- [ ] Manual: select a non-default batch size, refresh the page — multiplier should be restored
- [ ] Manual: switch to a non-default zone in the boss panel, navigate away and back — zone should still be selected
- [ ] Manual: repeat for the quest panel
- [ ] Manual: log out and back in — zone selection should reset to Verdant Vale

✨ This PR was created with help from Hikari~ 🌸

Reviewed-on: #48
Co-authored-by: Hikari <hikari@nhcarrigan.com>
Co-committed-by: Hikari <hikari@nhcarrigan.com>

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

@@ -243,7 +243,7 @@ const CharacterPage = ({ discordId }: CharacterPageProperties): JSX.Element => {
                 return (
                   <div
                     className="character-page-equipment-item"
-                    key={item.type}
+                    key={item.name}
                   >
                     <div className="character-page-equipment-header">
                       <span className="character-page-equipment-slot">