I messed up. I took "before" photos of cable connectors on this monitor in a Taito cocktail table so that I would know where things go. But I missed taking a shot of where the degauss circuit connects to. As luck would have it, now I seem to have 3 different spots where this connector could conceivably attach to!
The connector is a 3-position connector (with a gap making it kinda the same as a 4-position connector), but only has 2 wires going into it.
Photos below. I have NO idea what brand monitor this is. It's 13", has a 12-pin tube and the flyback is mounted separately from the chassis. Looks to be original for this cocktail but the tube probably is not. (Toshiba brand tube)