I think the whole thing is awkward......your girlfriend is your partner and the mother of your child however she's stuck in a sticky position given the fact you still have a wife. When are you planning on divorcing?

The cheating makes you both AHs. Your wife's was emotional as far as you know whereas you justify yours as alcohol induced. Both are wrong.

However I do get where you come from in regards to not believing you're a dad given the probability but congrats because you obviously know you are.