Add MQTT debug info for remaining MQTT integrations (#33506)

homeassistant/components/mqtt/binary_sensor.py

@@ -37,6 +37,7 @@ from . import (
     MqttEntityDeviceInfo,
     subscription,
 )
+from .debug_info import log_messages
 from .discovery import MQTT_DISCOVERY_NEW, clear_discovery_hash
 
 _LOGGER = logging.getLogger(__name__)
@@ -155,6 +156,7 @@ class MqttBinarySensor(
             self.async_write_ha_state()
 
         @callback
+        @log_messages(self.hass, self.entity_id)
         def state_message_received(msg):
             """Handle a new received MQTT state message."""
             payload = msg.payload