Need multiple climate control actions for mini split heat pump

I have a Fujitsu mini split heat pump system that is roughly being controlled with HA via an RM Mini 3.

The Fujitsu wall unit doesn’t have any actual climate control intelligence. If I ask it to blow 74F it will blow 74F until it’s manually shut off or changed regardless of the actual temp in the room. There is also a POWERFUL button on the remote that essentially makes the unit run at maximum output for 20 minutes or so.

Currently in HA I have a switch set up to turn the unit on and set it to blow at a certain temperature. That same switch also turns it off. This works. I also have a switch that fires up the powerful option. This switch only works when the unit is already on. I didn’t know what to do with the command_off portion of that switch so I just repeated the same IR code to enable powerful.

My goal: Use HA’s climate control to turn on the mini split and then engage the powerful option every 20 minutes until the desired temperature is hit. Once desired temp is hit, turn off the unit.

The problem: I have climate control set up and that functions fine, but I don’t know how to engage the powerful button in addition to turning the unit on. Without the powerful option, it can take quite some time for the temp to hit the target.

Any idea how I can write this so that when the climate control gets engaged it turns on the unit and then hits powerful?

Right now I have a very rudimentary automation that triggers at 6:30am, turns on the unit, hits powerful, waits 20 minutes, hits powerful again, and then it’s done. That’s when I discovered the generic_thermostat functionality and stopped trying to do this purely through automations.