Root cause: Persona Studio frontend sent requests to /api/ps/apikey/detect-models
but api-proxy.js (port 3721, the only backend Nginx routes to) didn't handle those paths.
The separate persona-studio backend (port 3002) was never deployed via ecosystem.config.js or Nginx.
Fix: Add detect-models and chat handlers directly to api-proxy.js so they work through
the same Nginx → API Proxy chain that the docs main site already uses successfully.
Also update frontend to point to port 3721 for local dev, and improve error messages.
Co-authored-by: qinfendebingshuo <207279273+qinfendebingshuo@users.noreply.github.com>