fix(rooms): Use rewrite for /api/city/rooms instead of API route

- Removed API route that was conflicting with rewrite
- Added explicit rewrite for /api/city/rooms -> /api/v1/city/rooms
- Rewrite order matters: specific routes before wildcard

apps/web/next.config.ts

@@ -41,12 +41,18 @@ const nextConfig: NextConfig = {
           source: '/api/public/:path*',
           destination: `${internalApiUrl}/public/:path*`,
         },
+        // City Rooms API (list) -> /api/v1/city/rooms
+        // Note: This must be before /api/city/:path* to take precedence
+        {
+          source: '/api/city/rooms',
+          destination: `${internalApiUrl}/api/v1/city/rooms`,
+        },
         // City Rooms API (specific slug endpoint) -> /api/v1/city/rooms
         {
           source: '/api/city/rooms/:slug',
           destination: `${internalApiUrl}/api/v1/city/rooms/:slug`,
         },
-        // City API -> /city
+        // City API -> /city (excludes /api/city/rooms which is handled above)
         {
           source: '/api/city/:path*',
           destination: `${internalApiUrl}/city/:path*`,