[Bug]: Agent cursor overlay remains visible after Computer Use session ends

Before submitting

• I searched existing issues and did not find a duplicate.
• I included enough detail to investigate the problem.

Area

apps/desktop

Steps to reproduce

1. Open a thread in T3 Code Desktop.
2. Let the agent perform a Computer Use session.
3. Wait for the Computer Use session to finish.
4. Continue using T3 Code.

This happens intermittently rather than after every Computer Use session.

Expected behavior

The agent cursor overlay should disappear when the Computer Use session ends.

Actual behavior

The cursor used during Computer Use sometimes remains visible on screen after the session has finished. It remains stuck until T3 Code is closed.

Impact

Minor bug or occasional failure

Version or commit

Unknown.

Environment

T3 Code Desktop. OS, T3 Code version, and provider version not yet recorded.

Logs or stack traces

No logs collected.

Screenshots, recordings, or supporting files

None currently.

Workaround

Close and reopen T3 Code.

Start in apps/desktop and trace the Computer Use session completion path alongside the cursor overlay lifecycle. Reproduce the intermittent failure while observing the session end behavior; done means the agent cursor overlay consistently disappears when the session finishes without restarting T3 Code.