Should I take her back?

My Girlfriend of 3.5 years broke up with me nearly 3 months ago and has now realized it was a mistake and that she wants to be with me. BUT during our split, she slept with a random guy after a drunken night. Found out that half way through she came to her senses and stopped.

Thing is...should I take her back? I still very much love her and I know that both of us aren't the type of people who F**KS around.
Should I take her back?
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