I have a few dry contacts that simulate a button press, but not for my garage opener. Basically I soldered the wires to either side of the button and the dry contact connects those as if the button was pressed. Beauty is the button still works too. I have read others in the community have had success of using a dry contact relay with their wall button too. So it’s definitely doable and should work you will just need to figure out timing for the various button presses.
