there's nothing to save here. Your marriage as you knew it is dead in the water. Stop blaming yourself for that. A marriage is 50/50. She could have spoke up at any time over the years to tell you how unhappy she was.
She has told you point blank she wants out so, as before let her have what she wants. Gain your balls and self respect back. I absolutely promise you when you move on, over time it gets easier and you start to become a better person. In the depths of my darkness 6 months ago I would never have thought it possible. I'm not saying you give up but you need to live your own life. What you are doing right now is not working. Women are not attracted to needy men. end of. They are attracted to confident men.
I would not recommend staying in a loveless marriage for sake of the kids. Its does not work for a million reasons but especially when your wife will meet someone else which rest assured she will. What you going to do then? Be her BFF?
Make a plan, legal advice, financial advice, child care write it down and execute it.
Don't worry about the what ifs, you cant live your life on what if's
as far the bullsh!t your wife is spewing about you meeting someone else and she's off the idea of men blah blah, I heard the same cr@p from mine before I found out about her affair. Just a precautionary tale...
Me:40 W:35 D:8 T:13 M:10 WAW: 7/14 PA Discovered: 1/15 at least 6 months Moved out and moved on