<human>: My wife and I have been married 6 months. We have lived together over 5 years. Our relationship had always been rocky but we have had a lot of love and good times. I have built my whole life around us.

I discovered emails yesterday that prove she had posted ads online for men and couples for "discreet encounters". I confronted her, she broke down and admitted to having slept with the same guy twice in a week period. She said she was planning on meeting him again.

She has never cheated before, and said that she had been unhappy the past few months, mainly with herself. She says it is not my fault and that she still loves me. She broke it off with him and wants to try to salvage our marriage.

I told her I would try if and only if she seeks counseling and we attend marriage counseling. We are going to speak to someone tonight. 

I love her, immensely. So much that leaving guts me almost as much as her cheating does. I am completely crushed by this, but I do not want to lose my wife. She wants to try to be happy with me and herself and fix her own issues while we work on ours. She claims it "made her feel alive" and that she is not unhappy with me or our sex life. She says that she felt guilt each time and knew she would eventually have to tell me. I told her this is her last and only chance, and that an open marriage is not an option for me. She suggested I sleep with someone, which I don't know how I feel.

Am I an idiot for staying? Can this be repaired? Can I rebuilt my trust and forgive her eventually? Can cheating be an isolated thing? Is sleeping with someone else a way to "equalize" things?

Can you condense the text into three sentences or less?
<bot>: Wife cheated twice with same guy. She says she wants to salvage things, and is sorry for what she has done. Blames only herself. Wants marriage counseling and suggested I sleep with another woman. Can this work?