Coparenting with a narcissist

I have sole physical and legal custody of my daughter, but her dad gets visitation 3x/week and pays nothing in child support. I was married to her father for less than a year.

My daughter is less than 2 years old and would be considered “medically fragile” having spent 2 weeks in 2 NICUs. I’ve fought for every ounce to get her to the 5th percentile for weight. I learned yesterday that her father has been lying to me for a year, having said on multiple occasions that he was vaccinated against COVID-19. To say that I feel violated & betrayed is the understatement of the year.

Where do I go from here?