Marking a running automation as Done does not stop its session

Testing [#335507](https://github.com/microsoft/vscode/issues/335507)

- An automation can be marked **Done** while the session it started continues running. This leaves the automation’s visible state inconsistent with its active work.

### Steps to reproduce

1. Run an automation.
2. While its session is still working, mark the automation as **Done**.
3. Observe the running session.

- **Expected:** Marking the automation as **Done** stops its running session before completing the state change.
- **Actual:** The automation is marked **Done**, but its session continues running.

https://github.com/user-attachments/assets/c7f34e5e-21e4-4c8e-a514-2f4df80cf5dd