Yeah so you'd probably just be grounding the positive side of the button momentarily. I'm pretty sure I did that with a ducted heater remote once, if it's 3.3 you can just attach it to a pin from your board, then send the pin low to press. 5v you might want a level shifter in between. Have you used esphome before/do you have home assistant? Then you can automate the press to a motion sensor or widget on your phone.