Request a DNA test or not for planned newborn

I’m currently 39 weeks pregnant. The father of my child was active the first 3 months until he met another women left and disappeared. He reached out to me this week asking if the baby as arrived and said once he does he would like to be called in for a DNA test (before he does anything) These past 9 months I have received no help, no preparation no questions nothing from him regarding the baby. We planned this child and we know 100% this is his son. I believe he wants the DNA test because his new GF is requesting it and to have a excuse to his friends/ family on why he hasn’t been apart of the pregnancy or done anything. At this point my head is just all over the place and since him reaching out this week mentally it’s been hard and hurtful.

I think I should just move forward and if he wants to be apart I won’t deny him that but he can go to courts and request his own DNA test. I don’t think I should request one at the hospital and have that energy around my newborn son. If he cares he should do whatever on his part. I’ve done enough did these 9 months alone and prepared/ purchased everything for him alone!!!

What’s everyone’s opinion??! I’m open to hearing different views because I do want my son to have a father around but I don’t want someone half *ss! He was involved until this other women came around when I was 16 weeks…

Thank you for listening ladies. Bless everyone