Should I get back together with a cheater?

Problem/Goal: Should I get back together with a cheater?

Context: I'm F(37) and my partner was F(33) We've been together for 10 years. We have been playing this online game for a while now (same gameplay, different game, it's the type you can chat people with) I found out that she has been chatting with another player (M 30s with wife and kids) from Ukraine there since May 2026. Their messages to each other is a lot and contains sweet things (calling each other my dear, sharing life updates, sharing photos and voice messages), like there are times that messages start early in the day and end past midnight (for us since different timezone). I broke up with her when I found out. Now she wants to get back together, saying that she didn't mean the message exchanges and that it was not serious and that she was just looking then for somebody to chat with. The guy, when confronted, did not respond.