feat: initial prototype — core game systems (#30)

## Summary

This PR represents the full v1 prototype, implementing the core game systems for Elysium.

- Full idle/clicker RPG loop: resource collection, crafting, boss fights, exploration, and quests
- Adventurer hiring with batch size selector and progressive tier cost scaling
- Prestige, transcendence, and apotheosis systems with auto-prestige support
- Character sheet, titles, leaderboards, companion system, and daily login bonuses
- Auto-quest and auto-boss toggles
- Discord webhook notifications on prestige/transcendence/apotheosis
- Discord role awarded on apotheosis
- Responsive design and overarching story/lore system
- In-game sound effects and browser notifications for key events
- Support link button in the resource bar
- Full test coverage (100% on `apps/api` and `packages/types`)
- CI pipeline: lint → build → test

## Closes

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Closes #29

✨ This issue was created with help from Hikari~ 🌸

Co-authored-by: Naomi Carrigan <commits@nhcarrigan.com>
Reviewed-on: #30
Co-authored-by: Hikari <hikari@nhcarrigan.com>
Co-committed-by: Hikari <hikari@nhcarrigan.com>

CLAUDE.md

@@ -0,0 +1,12 @@
+# Elysium Project Notes
+
+## CI Requirements
+
+**Never commit without first confirming the full pipeline passes locally:**
+1. `pnpm lint` — zero errors, zero warnings
+2. `pnpm build` — all packages build cleanly
+3. `pnpm test` — all tests pass with 100% coverage on `apps/api` and `packages/types`
+
+## About Page
+
+The About page (`apps/web/src/components/game/aboutPanel.tsx`) contains a **How to Play** guide that should be kept up to date as new features are added to the game. When implementing new game systems, zones, mechanics, or significant UI features, update the `HOW_TO_PLAY` array in `aboutPanel.tsx` to include a description of the new feature.