Add MQTT debug info (#33461)

* Add MQTT debug info

* Tweaks

* Tweaks

homeassistant/components/mqtt/sensor.py

@@ -35,6 +35,7 @@ from . import (
     MqttEntityDeviceInfo,
     subscription,
 )
+from .debug_info import log_messages
 from .discovery import MQTT_DISCOVERY_NEW, clear_discovery_hash
 
 _LOGGER = logging.getLogger(__name__)
@@ -137,6 +138,7 @@ class MqttSensor(
             template.hass = self.hass
 
         @callback
+        @log_messages(self.hass, self.entity_id)
         def message_received(msg):
             """Handle new MQTT messages."""
             payload = msg.payload