Should a man take back his ex-wife who cheated and wants to reconcile while keeping her apartment?

A man divorced his wife after discovering her infidelity. She has since admitted cheating and asked for forgiveness, but he is hesitant. The ex-wife wants to reconcile but wishes to keep her apartment, raising doubts about her commitment. The man is considering this or moving on, potentially for a new job. The advice given is to move on, citing the man's initial feeling that the marriage shouldn't have happened and a lack of clear reasons for change.