- move chat controller, state, protocol, history, and websocket logic into a dedicated chat feature module
- improve chat reconnection, session hydration, and send gating based on actual websocket state
- preserve gateway status during transient SSE disconnects and update stop state immediately
- generate wss websocket URLs behind HTTPS proxies and add backend tests for forwarded proto handling
- centralize Pico chat connection and session state in a shared store
- move chat lifecycle control out of usePicoChat
- hydrate and restore the active session across the app
