```

feat(game): update websocket URL configuration and improve game room logic

- Change VITE_GAME_WS_URL from /api/v1/ws to /ws in .env.development
- Update proxy configuration in vite.config.ts to match new websocket path
- Refactor leave room functionality to properly disconnect websocket
and destroy room state
- Add e2e testing script to package.json
```

vite.config.ts

@@ -10,7 +10,7 @@ export default defineConfig(({ mode }) => {
     plugins: [vue()],
     server: {
       proxy: {
-        '/api/v1/ws': {
+        '/ws': {
           target: wsProxyTarget,
           changeOrigin: true,
           ws: true,