Separation and dating

More information that may be relevant. On this topic, separation agreement states:

  • “parties will continue to live separate and apart form each other as fully and completely and in the same manner and to the same extent as though they had never been married, and shall each reside at such place and/or places and with such person and/or persons as each my deem fit or as each my desire.”

We’ve been separated for a short time. We have no children, no nope of reconciliation, and there will be no alimony. From what I can tell from some quick online searching, post-separation dating is still adultery. I consider myself a moral person, and given what has happened in our relationship I have see no moral reason not to move on with my life - including romantically. Is there really any legal reason for me not to do so?