Show the run status and port of a project action that starts a dev server in thread details

[Azure12355]

What I'd like

When a project action starts a long-running dev server, show it in the thread details panel, under the action or in the Servers list: whether it is running, its port, and a way to open or stop it.

What happens now

I set up a project action as a start/stop toggle for my Vite app:

PORT=41837; PID=$(lsof -tiTCP:$PORT -sTCP:LISTEN)
if [ -n "$PID" ]; then kill $PID; else cd <project> && exec pnpm dev --port $PORT; fi

with Preview URL http://127.0.0.1:41837/.

Running it works: the bottom terminal shows VITE ready … http://127.0.0.1:41837/, and the port is listening. But the thread details panel on the right shows only the action's name ("Agent Lens"). There is no Servers section and nothing that says the action is running. Earlier in the same thread, while a server on another port (25263) was up, that panel did show a Servers section with localhost:25263.

So the only way to tell whether my app is up is to open the terminal drawer and read the log, or run the action again and see whether it starts or stops.

Why

Project actions are the natural place to put "start my app". Once they run, the side panel is where I look for what is running in this project. A small status there (running / stopped, port, open in preview, stop) would make an action work as a real one-click start/stop, without keeping the terminal open.

A possible shape

• Mark an action as long-running (or infer it while its process is still alive).
• In thread details, show a running dot next to the action, plus the port(s) the action's process tree listens on, with Open and Stop.
• Or simply include servers started by project actions in the Servers list, labelled with the action's name instead of "Terminal · node".

Related: #15238 (thread rows don't show servers the agent started), discussion #31961 (custom entries in the Servers list), discussion #21212 (actions reserving a port).

Environment: T3 Code (Beta) 0.1.7, macOS (Darwin 25.5), Claude Code provider.