language_model: Refresh the LLM token upon receiving a `UserUpdated` message from Cloud (#35839)
This PR makes it so we refresh the LLM token upon receiving a
`UserUpdated` message from Cloud over the WebSocket connection.
Release Notes:
- N/A
50482a6bc2Marshall Bowers committed on 8/7/2025, 11:00:45 PM· committed by GitHubparentd110459