I am thinking she would benefit from individual therapy more than couples therapy as she needs to address her issues first. But if she isn’t interested in doing so, there isn’t much you can do. Can’t force people to seek help. She might be just who she is, a person who seeks attention from the opposite sex. I’d not want partner like this but i know women married to men who flirt with every female, that’s who they are. I doubt she’ll change. You can either accept it or move on. I hate being pessimistic but I don’t see what else could be done, it’s not you and it’s not your issue. Of course you could give couples therapy more chance

I am glad that you are working with your own therapist though.