Why bother? You already know what you will find. And you already know what you will do...threaten her and then do nothing but continue to let her dangle you. You are afraid...but of what? Afraid you might have a life where you aren't cheated on? If I were you, I'd be afraid that you'd repair this thing just enough for you to get your heart broken again the next time she felt like cheating.
We are not on a site that says, "get divorced", so I guess I won't suggest it, but you are young, you have no kids, and you have a long life ahead of you. I'd love for you to have what's best for you and to one day know the joy of having kids (if you want them), with a partner that's prepared to stick it out and not cheat on you. I don't really think that's what you have now, and you won't until she decides to do the work to be that person. Will she? I don't know, but how much time and heartache do you need to have to find out.
Last suggestion: Give up the threats. Decide what you are going to do and DO IT. No more basing your own life and decisions on what she says and does. YOU CONTROL YOUR OWN LIFE. Decide what's next for you and do it. If it's being with your wife, regardless of everything else, then just forget OM, since you aren't going anywhere even if she's cheating...which she did and is.
You cannot be lonely if you like the person you're alone with. Dr. Wayne Dyer