Does a Non custodial parent have to produce dna sample, just because the custodial parent says they are the father of their child?

She is in a relationship with another guy and I am in a relationship with another female, I feel she may just trying to hope I'm her baby father. I understand if a court orders a dna I have to obey that order. After we broke up, a few months later she became pregnant, I found out thru a mutual friend she was pregnant. She didn't even tell me first, and once I found out I assumed it was some else becase she never told me it was my child.. a few weeks after that she reached out to me thru txt and let me knw she was pregnant. First she said it was mine, then a couple of days later she said it wasn't mine, and 2 -3 weeks after that she said it was mine again. Now the baby is born and I just received a letter from AGO letting me knw I have an account setup, I haven't had a dna test done or a court summons. Also wondering if an affidavit from mutual friend would help my case and not even waste courts time on dna. . Bcuz i would says it 2% chance it's mine, together 9 months-no pregan