fix: preserve empty timeout details

Author: Elioooon

src/ha_mcp/client/rest_client.py

@@ -836,7 +836,7 @@ async def _supervisor_logs_get(self, path: str, lines: int | None = None) -> str
         except (TimeoutError, httpx.TimeoutException) as e:
             raise HomeAssistantConnectionError(
                 f"Timeout fetching /{path}/logs from Supervisor after "
-                f"{self.timeout}s: {e or type(e).__name__}"
+                f"{self.timeout}s: {str(e) or type(e).__name__}"
             ) from e
         except httpx.HTTPError as e:
             raise HomeAssistantConnectionError(

tests/src/unit/test_tools_utility_supervisor_logs.py

@@ -454,7 +454,7 @@ async def _hang_forever(*_args, **_kwargs):
         with pytest.raises(HomeAssistantConnectionError) as exc_info:
             await mock_client.get_addon_logs("core_mosquitto")
 
-        assert "Timeout" in str(exc_info.value)
+        assert "after 0.01s: TimeoutError" in str(exc_info.value)
 
     @pytest.mark.asyncio
     async def test_raises_connection_error_on_network_failure_with_distinct_message(