Should I take him back or am I dumb for doing so?

so after 5 months of dating, me and my boyfriend broke up. During the two month period where we were separated, he had sex with an old girlfriend. We decided to get back together soon after, and I didn't know he had slept with someone else. So his ex texts me and says that they slept together when we were single. She mentions that he told her not to tell anyone that it happened and said that he still loved me. I wish I didn't know about this, but I do now. My boyfriend is devastated that I know and found out in this way, as he knew I wouldn't take him back if he told me. I don't know what to do, I love him but I can't stop thinking about him fucking his ex. Should I give him another chance
Should I take him back or am I dumb for doing so?
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