Call disconnected callbacks from BT ESPHome client (#102084)

Co-authored-by: J. Nick Koston <nick@koston.org>

homeassistant/components/esphome/bluetooth/client.py

@@ -392,8 +392,8 @@ class ESPHomeClient(BaseBleakClient):
         return await self._disconnect()
 
     async def _disconnect(self) -> bool:
-        self._async_disconnected_cleanup()
         await self._client.bluetooth_device_disconnect(self._address_as_int)
+        self._async_ble_device_disconnected()
         await self._wait_for_free_connection_slot(DISCONNECT_TIMEOUT)
         return True