Is it okay to befriend an ex?

Is it okay to befriend an ex who was caught cheating? Not physically cheating but more of them doing it online. Sad to say that I'm not completely over my ex, but I am over this stupid argument that led us drifted apart. I miss him more as a friend. I don't think I could ever give him that second chance of us getting back together, but I'm willing to put the past behind us and hopefully fix what was broken. Does that sound stupid?
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