Handle update errors in automatic Supervisor update task (#6328)

Wrap the Supervisor auto-update call with suppress(SupervisorUpdateError)
to prevent unhandled exceptions from propagating. When an automatic update
fails, errors are already logged by the exception handlers, and there's no
meaningful recovery action the scheduler task can take.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-authored-by: Claude <noreply@anthropic.com>

supervisor/misc/tasks.py

@@ -1,5 +1,6 @@
 """A collection of tasks."""
 
+from contextlib import suppress
 from datetime import datetime, timedelta
 import logging
 from typing import cast
@@ -13,6 +14,7 @@ from ..exceptions import (
     BackupFileNotFoundError,
     HomeAssistantError,
     ObserverError,
+    SupervisorUpdateError,
 )
 from ..homeassistant.const import LANDINGPAGE, WSType
 from ..jobs.const import JobConcurrency
@@ -174,6 +176,10 @@ class Tasks(CoreSysAttributes):
             "Found new Supervisor version %s, updating",
             self.sys_supervisor.latest_version,
         )
+
+        # Errors are logged by the exceptions, we can't really do something
+        # if an update fails here.
+        with suppress(SupervisorUpdateError):
             await self.sys_supervisor.update()
 
     async def _watchdog_homeassistant_api(self):