Rename BinarySensorDevice to BinarySensorEntity (#34462)

* Rename BinarySensorDevice to BinarySensorEntity

* Tweak

* Move deprecation warning to __new__, add test

* Move deprecation warning back to __init__

* Move deprecation warning to __init_subclass

homeassistant/components/axis/binary_sensor.py

@@ -4,7 +4,7 @@ from datetime import timedelta
 
 from axis.event_stream import CLASS_INPUT, CLASS_OUTPUT
 
-from homeassistant.components.binary_sensor import BinarySensorDevice
+from homeassistant.components.binary_sensor import BinarySensorEntity
 from homeassistant.const import CONF_TRIGGER_TIME
 from homeassistant.core import callback
 from homeassistant.helpers.dispatcher import async_dispatcher_connect
@@ -32,7 +32,7 @@ async def async_setup_entry(hass, config_entry, async_add_entities):
     )
 
 
-class AxisBinarySensor(AxisEventBase, BinarySensorDevice):
+class AxisBinarySensor(AxisEventBase, BinarySensorEntity):
     """Representation of a binary Axis event."""
 
     def __init__(self, event, device):