The three wired buttons are strange...
https://i.ebayimg.com/images/g/YKcAAOSw5wli4NJJ/s-l1600.jpg
Others have evaluated these chinese knock-offs more closely:
The wiring harness is only compatible with the buttons and joysticks that china provides (but that does not stop anyone with a soldering iron!)
Full article here.
TL;DR: Reverse-engineer the button or get a new pushbutton.