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/web/src/lib/auth-client.ts

@@ -1,7 +1,7 @@
 import { createAuthClient } from "better-auth/react";
 
 export const authClient = createAuthClient({
-  baseURL: "http://localhost:3000",
+  baseURL: import.meta.env["VITE_API_URL"] || "http://localhost:3000",
 });
 
 export const { signIn, signOut, useSession } = authClient;