Would you consider it cheating?

So this is a conversation between my wife and a man she met when she went to the bar with her friends a little while ago. She thought he just wanted to be friends and showed me every message as she received them. It finally got to where I was uncomfortable and asked her to unfriend him and no longer speak to him and she did so immediately and agreed. I'm not upset with her, I am pissed at him. He knew she is married and he's also married with a son. I know he is a cheater, but would you consider my wife as cheating too?

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