Add new climate feature flags for airtouch5 (#109422)

* Add new climate feature flags for airtouch5

* adapt

homeassistant/components/airtouch5/climate.py

@@ -120,15 +120,12 @@ class Airtouch5ClimateEntity(ClimateEntity, Airtouch5Entity):
     _attr_temperature_unit = UnitOfTemperature.CELSIUS
     _attr_target_temperature_step = 1
     _attr_name = None
+    _enable_turn_on_off_backwards_compatibility = False
 
 
 class Airtouch5AC(Airtouch5ClimateEntity):
     """Representation of the AC unit. Used to control the overall HVAC Mode."""
 
-    _attr_supported_features = (
-        ClimateEntityFeature.TARGET_TEMPERATURE | ClimateEntityFeature.FAN_MODE
-    )
-
     def __init__(self, client: Airtouch5SimpleClient, ability: AcAbility) -> None:
         """Initialise the Climate Entity."""
         super().__init__(client)
@@ -152,6 +149,14 @@ class Airtouch5AC(Airtouch5ClimateEntity):
         if ability.supports_mode_heat:
             self._attr_hvac_modes.append(HVACMode.HEAT)
 
+        self._attr_supported_features = (
+            ClimateEntityFeature.TARGET_TEMPERATURE | ClimateEntityFeature.FAN_MODE
+        )
+        if len(self.hvac_modes) > 1:
+            self._attr_supported_features |= (
+                ClimateEntityFeature.TURN_OFF | ClimateEntityFeature.TURN_ON
+            )
+
         self._attr_fan_modes = []
         if ability.supports_fan_speed_quiet:
             self._attr_fan_modes.append(FAN_DIFFUSE)
@@ -262,7 +267,10 @@ class Airtouch5Zone(Airtouch5ClimateEntity):
     _attr_hvac_modes = [HVACMode.OFF, HVACMode.FAN_ONLY]
     _attr_preset_modes = [PRESET_NONE, PRESET_BOOST]
     _attr_supported_features = (
-        ClimateEntityFeature.TARGET_TEMPERATURE | ClimateEntityFeature.PRESET_MODE
+        ClimateEntityFeature.TARGET_TEMPERATURE
+        | ClimateEntityFeature.PRESET_MODE
+        | ClimateEntityFeature.TURN_OFF
+        | ClimateEntityFeature.TURN_ON
     )
 
     def __init__(