Raise and suppress stack trace when reloading yaml fails (#102410)

* Allow async_integration_yaml_config to raise

* Docstr - split check

* Implement as wrapper, return dataclass

* Fix setup error handling

* Fix reload test mock

* Move log_messages to error handler

* Remove unreachable code

* Remove config test helper

* Refactor and ensure notifications during setup

* Remove redundat error, adjust tests notifications

* Fix patch

* Apply suggestions from code review

Co-authored-by: Erik Montnemery <erik@montnemery.com>

* Follow up comments

* Add call_back decorator

* Split long lines

* Update exception abbreviations

---------

Co-authored-by: Erik Montnemery <erik@montnemery.com>

tests/test_bootstrap.py

@@ -1013,7 +1013,10 @@ async def test_bootstrap_dependencies(
     with patch(
         "homeassistant.setup.loader.async_get_integrations",
         side_effect=mock_async_get_integrations,
-    ), patch("homeassistant.config.async_process_component_config", return_value={}):
+    ), patch(
+        "homeassistant.config.async_process_component_config",
+        return_value=config_util.IntegrationConfigInfo({}, []),
+    ):
         bootstrap.async_set_domains_to_be_loaded(hass, {integration})
         await bootstrap.async_setup_multi_components(hass, {integration}, {})
         await hass.async_block_till_done()