I recommend you bring the blank with you so you can compare while searching. I think it was from a Lexus, but I don't recall the exact vehicle or year range (looks like RX300 99-03 is my best guess). It is a powered seat memory button with three momentary switches, perfect for what I needed.
I then opened the garage opener and figured out which parts of the circuit board I needed to solder the wires to and which wires did what on the 3 button switch I grabbed. This switch was simple, the white/black wire was the ground, then each of the other three wires went to one of the three buttons on the front.
It was as simple as soldering the white/black to the common ground on the circuit board and then one of each of the other three wires to each pole of the three buttons of the GENIE remote I was using. I like that this switch has 3 buttons so I can use up to 3 garage door/gates in the future.
I have a spare I grabbed at the junk yard and plan to try to repaint the button's on the front. I chose to mount in the blank location next to the fuse panel so that I could get to the battery of the garage remote if needed to change the battery. The GENIE remote is 12v, so I believe I could wire it into the car easily enough, but the battery works for me for now.
Final result:









