I’m honestly really quite disappointed in her. Even with the greatest benefit of the doubt & there was no cheating involved (emotional or physical), she’s been split up with Jesse, the father of her kids & person she’s been with for what? 12+ years, for a couple months. This dudes been split from his wife for a couple months. Children involved on both sides.
At the very minimum, you could easily choose to keep in on the down low for a while, out of respect to your kids if nothing else. What’s she thinking kissing him in public?!
Alternatively, you could be mature adults & not publicly rebound 2 months after the breakdown of your marriage