Fried ECM
Schematically it should be like this. If not, mark it up.
The solid black dot is a welded splice wrapped in electric tape. Leave it alone.
Adding a third wire to that terminal connection should work. Honestly its not a great way to do it.
I'd either piggy back it there with one of these
Splice it in permanent or attach it at the regulator.
I think there is one year where some ignition wires goes to regulator first. Only you can say what you have there.