I don’t have the after but did take a before because as I get older I am having a hard time seeing up close LOL. With any button you solder on both sides of the button and here is where you solder the wires:
And to throw this out there for testing this process, while the button was connected to the GDO, I used a wire and touched these two spots with both ends of the wire and confirmed the light came on. Touched them again and the light turned off. So this validated I had the right points to solder the wires too as a dry contact relay basically connects the two.