Go home. Apologize. Work out a long-term solution with your current lady so that your daughter is still in your life but in a way that respects boundaries that your currently lady finds reasonable. Given your history of infidelity, expect to compromise to her expectations more than for her to compromise to yours.
Communicate the agreement to your ex in no ambiguous terms and be damn sure to follow/enforce them. This could be a second chance that you never get again. You can throw away that chance whenever you want, but the configuration of events/circumstance resulting in a third chance may not be as entirely within your control.
In time, you may be able to negotiate a compromise closer to your favour, but that requires good behaviour on your part and trust from your current lady.
No matter how things turn out, I really hope you are happy with the outcome. I just think pride would be a very regrettable determinant for an undesirable outcome.
