feat: add production deployment config

- Add docker-compose.prod.yml and Caddyfile for Caddy reverse proxy
- Add production stages to frontend Dockerfile (nginx for static files)
- Fix monorepo package exports for production builds (dist/src paths)
- Add CORS_ORIGIN env var for cross-origin config
- Add Better Auth baseURL, cookie domain, and trusted origins from env
- Use VITE_API_URL for API calls in auth-client and play route
- Add credentials: include for cross-origin fetch requests
- Remove unused users table from schema

apps/api/package.json

@@ -6,7 +6,7 @@
   "scripts": {
     "dev": "tsx watch src/server.ts",
     "build": "tsc",
-    "start": "node dist/server.js",
+    "start": "node dist/src/server.js",
     "test": "vitest"
   },
   "dependencies": {