you played the previous response poorly but what was wrong with saying "OK thank you goodnight"?
Stop second guessing everything, follow the advice, go through coach's recent reply to you, if you needed things explained in plain english he did that for you, read it, absorb that info, understand it, it's exactly what he says it is, read that post by gucci that you quoted, he is 100% right in that assessment.
You got scared because your wife mentioned divorce, guess what she bluffed and you folded your hand when you were holding the better hand. Smarten up, stop thinking that you've lost your chance here. She cheated on you, not the other way around and you are afraid to lose her? She should be afraid to lose you but you still have this loser mentality: chin up, chest out, shoulders straight, stand up tall & strong and don't forget that this is her loss.
Don't worry about you keeping the door open for reconciliation, that's where you are wrong, it doesn't work by you keeping the door open, if she wants to reconcile, and if you make her feel that things are over only then will the possibility of her feeling differently about you occur and only then will any chance of reconciliation exist and at that point, she will bust down that door to reconciliation if that's what she wants but it won't happen before then.
Why would you even consider taking her back if she's with another man? Seriously how low is your self-esteem that you would tolerate that? What's wrong with you bro? She's with another man, hello?!!!!