Her girlfriend is in town but you have the kids. Might be a good time to suggest a casual meet up with the presumption that her girlfriend would want to spend a few minutes and see the kids.
Even a "I could swing by the beach on our way to Butterfly Emporium just to say hi and bring you party supplies like ice or more beer if you need it".
Then if and when you stop by....stay for a bit or not depending on the reception. In other words, if she begs you to stay, stay....otherwise you continue on with your plans. It could be as simple as pulling up and saying "hi" without even parking the car.
If you want to save your marriage you have to have contact with her from time to time or she'll just move on (and so will you).
Don't press it...mention it casually and make no indication of disappointment if she isn't receptive to it.
The internet is 90% complaining and entitlement and I hate it because I deserve better!