Don't lost session on reauthentication.

If I hit my session limit, re-authenticate with another Claude account and _continue_ then I get error _Session not found_. I have to reload the editor (zed) to continue.

<img width="1031" height="333" alt="Image" src="https://github.com/user-attachments/assets/bed41882-e6fc-4cf4-92f0-05af6628e84d" />