Fix fallback to polling HomeKit devices that fail to subscribe

fixes #https://github.com/home-assistant/core/issues/124099
needs https://github.com/Jc2k/aiohomekit/pull/378

homeassistant/components/homekit_controller/connection.py

@@ -849,16 +849,15 @@ class HKDevice:
         """Poll state of all entities attached to this bridge/accessory."""
         to_poll = self.pollable_characteristics
         accessories = self.entity_map.accessories
-
+        pairing = self.pairing
         if (
             not self._full_update_requested
+            and pairing.supports_subscribe
             and len(accessories) == 1
             and self.available
             and not (to_poll - self.watchable_characteristics)
-            and self.pairing.is_available
-            and await self.pairing.controller.async_reachable(
-                self.unique_id, timeout=5.0
-            )
+            and pairing.is_available
+            and await pairing.controller.async_reachable(self.unique_id, timeout=5.0)
         ):
             # If its a single accessory and all chars are watchable,
             # only poll the firmware version to keep the connection alive

tests/components/homekit_controller/test_connection.py

@@ -439,3 +439,33 @@ async def test_manual_poll_all_chars(
         await time_changed(hass, DEBOUNCE_COOLDOWN)
         await hass.async_block_till_done()
         assert len(mock_get_characteristics.call_args_list[0][0][0]) > 1
+
+
+async def test_device_has_broken_subscribe(
+    hass: HomeAssistant, get_next_aid: Callable[[], int]
+) -> None:
+    """Test device that does not support subscribe."""
+
+    def _create_accessory(accessory: Accessory) -> Service:
+        service = accessory.add_service(ServicesTypes.LIGHTBULB, name="TestDevice")
+
+        on_char = service.add_char(CharacteristicsTypes.ON)
+        on_char.value = 0
+
+        brightness = service.add_char(CharacteristicsTypes.BRIGHTNESS)
+        brightness.value = 0
+
+        return service
+
+    helper = await setup_test_component(hass, get_next_aid(), _create_accessory)
+    helper.pairing.supports_subscribe = False
+
+    with mock.patch.object(
+        helper.pairing,
+        "get_characteristics",
+        wraps=helper.pairing.get_characteristics,
+    ) as mock_get_characteristics:
+        # Initial state is that the light is off
+        await helper.poll_and_get_state()
+        # Verify everything is polled because subscribe is not supported
+        assert len(mock_get_characteristics.call_args_list[0][0][0]) > 1