Add track_template_result method to events (#38802)

* Merge original changes from #23590

* guard

* adjust

* adjust

* adjust

* Update async_render_to_info for recent codebase changes

* no more protected access

* do not fire right away per review comments

* update test to not fire right away

* closer

* rework tests for non firing first

* augment coverage

* remove cruft

* test for complex listen add/remove

* update docs to match review feedback to not fire right away

* preserve existing behavior

* fix test

* Ensure listeners are cleaned up

* de-dupe and comment

* de-dupe and comment

* coverage

* test to login again if we go from exception to ok to exception

* Update homeassistant/core.py

Co-authored-by: Paulus Schoutsen <paulus@home-assistant.io>

* Update homeassistant/helpers/event.py

Co-authored-by: Paulus Schoutsen <paulus@home-assistant.io>

* rename _boolean_coerce to result_as_boolean and move it out of event

* additional coverage

* Add more tests (may still be able to trim this down)

Co-authored-by: Swamp-Ig <github@ninjateaparty.com>
Co-authored-by: Paulus Schoutsen <paulus@home-assistant.io>

tests/helpers/test_condition.py

@@ -1,4 +1,6 @@
 """Test the condition helper."""
+from logging import ERROR
+
 import pytest
 
 from homeassistant.exceptions import HomeAssistantError
@@ -576,3 +578,18 @@ async def test_extract_devices():
             ],
         }
     ) == {"abcd", "qwer", "abcd_not", "qwer_not", "abcd_or", "qwer_or"}
+
+
+async def test_condition_template_error(hass, caplog):
+    """Test invalid template."""
+    caplog.set_level(ERROR)
+
+    test = await condition.async_from_config(
+        hass, {"condition": "template", "value_template": "{{ undefined.state }}"}
+    )
+
+    assert not test(hass)
+    assert len(caplog.records) == 1
+    assert caplog.records[0].message.startswith(
+        "Error during template condition: UndefinedError:"
+    )