Have you tried the "numeric state" trigger? It lets you trigger an automation if one numeric entity is higher or lower than another one.
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I’ll take a look. Thanks for the suggestion!
In isolation a temperature sensor can be “flappy”, so you may want to try and smooth the data to avoid hysteresis. I use the statistics integration to help improve the quality of my sensors.
Have a read of this for inspiration:
https://community.home-assistant.io/t/thermostat-with-hysteresis-smoothing-factor/72729
Using this you would create a calibrated sensor which you would use for automations as SeriousBug suggests.
Styxia@kbin.social suggested statistics to smooth the numbers out. I can't reply to his comment for some reason, so I'm trying to reply here: Another option to avoid that issue would be to have the automation check that a > b for 2 minutes, or something like that.
I have a similar automation setup to notify when the AC is running while the temperature is cooler outside. You could create an automation with a time based trigger (run every 5 mins) with a value template in the Conditions (along with any other conditions like only in the daytime, if blinds are open, etc):
{{ states('sensor.thermostat_current_temperature')|float>state_attr('weather.home', 'temperature')|float }}
And then in Actions: call service - Notifications: send via mobile app
Mine only differs in that it triggers based off the AC turning on.