If this is what she wants, then let her put on her BGPs and start to feel what it's like to lose you. You need to know that when she has stressors in her life -- even legitimate ones -- she's not going to turn to serial infidelity to soothe herself and her problems. And she needs to learn healthier (and more appropriate!) ways of dealing with them too.
Did she agree to any sort of a transparency plan with you after the first affair discovery? Too often us betrayed spouses are so relieved that our wives or husbands want to come back to the marriage, that we fail to put proper boundaries in place.