Pause or resume an alert without touching its rule.

Requires MEMBER role or higher in the project's workspace (the write service decides). Pausing keeps the severity it stopped at; resuming is a cold start (state reset, due now). Setting the status the alert already has is a 200 with nothing changed.

Args: request (Request): Incoming request (rate-limit plumbing). response (Response): Outgoing response (rate-limit plumbing). auth (AccountStampedAuth): Account-scope user auth (session token or CLI access JWT); its resolved user_id becomes the actor. alert_id (str): The alert to pause or resume. payload (AlertStatusRequest): The project and the target status. _live (None): Write-path liveness gate (blocks a revoked JWT session).

Returns: UpdateAlertResponse: The alert with its new status and the state flags.

Raises: HTTPException: The write service's 400/403/404/409 verbatim, or a 503 when its response is ambiguous.