Add support for eager tasks (#111425)

* Add support for eager tasks

python 3.12 supports eager tasks

reading:
https://docs.python.org/3/library/asyncio-task.html#eager-task-factory
https://github.com/python/cpython/issues/97696

There are lots of places were we are unlikely to suspend, but we might
suspend so creating a task makes sense

* reduce

* revert entity

* revert

* coverage

* coverage

* coverage

* coverage

* fix test

tests/util/test_async.py

@@ -1,5 +1,6 @@
 """Tests for async util methods from Python source."""
 import asyncio
+import sys
 import time
 from unittest.mock import MagicMock, Mock, patch
 
@@ -246,3 +247,53 @@ async def test_callback_is_always_scheduled(hass: HomeAssistant) -> None:
         hasync.run_callback_threadsafe(hass.loop, callback)
 
     mock_call_soon_threadsafe.assert_called_once()
+
+
+@pytest.mark.skipif(sys.version_info < (3, 12), reason="Test requires Python 3.12+")
+async def test_create_eager_task_312(hass: HomeAssistant) -> None:
+    """Test create_eager_task schedules a task eagerly in the event loop.
+
+    For Python 3.12+, the task is scheduled eagerly in the event loop.
+    """
+    events = []
+
+    async def _normal_task():
+        events.append("normal")
+
+    async def _eager_task():
+        events.append("eager")
+
+    task1 = hasync.create_eager_task(_eager_task())
+    task2 = asyncio.create_task(_normal_task())
+
+    assert events == ["eager"]
+
+    await asyncio.sleep(0)
+    assert events == ["eager", "normal"]
+    await task1
+    await task2
+
+
+@pytest.mark.skipif(sys.version_info >= (3, 12), reason="Test requires < Python 3.12")
+async def test_create_eager_task_pre_312(hass: HomeAssistant) -> None:
+    """Test create_eager_task schedules a task in the event loop.
+
+    For older python versions, the task is scheduled normally.
+    """
+    events = []
+
+    async def _normal_task():
+        events.append("normal")
+
+    async def _eager_task():
+        events.append("eager")
+
+    task1 = hasync.create_eager_task(_eager_task())
+    task2 = asyncio.create_task(_normal_task())
+
+    assert events == []
+
+    await asyncio.sleep(0)
+    assert events == ["eager", "normal"]
+    await task1
+    await task2