Can I force the Updater to start?

Background:
I have a sensor that shows any entities that are unavailable to see if there are any that need attention. Like a zigbee lamp that falls out every now and then. However, since I look for all entities with state ‘unavailable’, the binary_sensor.updater also match the first hour before it actually updates itself.

I’d like it to update itself as part of an automation running after HA restart.

I tried to run a service call for homeassistant.update_entity, but that made no difference.

Suggestions?