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>

apps/web/vite.config.ts

@@ -0,0 +1,26 @@
+import { readFileSync } from "node:fs";
+import react from "@vitejs/plugin-react";
+import { defineConfig } from "vite";
+
+const { version: WEB_VERSION } = JSON.parse(
+  readFileSync("./package.json", "utf-8"),
+) as { version: string };
+
+export default defineConfig({
+  define: {
+    __WEB_VERSION__: JSON.stringify(WEB_VERSION),
+  },
+  plugins: [react()],
+  server: {
+    port: 5173,
+    proxy: {
+      "/api": {
+        target: "http://localhost:3898",
+        rewrite: (path) => path.replace(/^\/api/, ""),
+      },
+    },
+  },
+  build: {
+    outDir: "dist",
+  },
+});