BD refuses to sign birth certificate n I need it ASAP

My daughter is 4 years old, almost 5 and still doesn’t have a birth certificate due to her father ignoring or refusing to sign the birth certificate. He will say he will up until the day and it never gets done. He knows my kids are his, he doesn’t doubt paternity whatsoever, he’s just a narcissistic prick who would rather be petty to make things harder on me, and I think a little reasoning is because of child support. We have our first child on CS but he already doesn’t pay a cent. His already an absent father but refuses to sign his rights away because “he loves his kids” he just needs to make money and get his life together first 🙄🤯

So my question is, how do I go about getting a birth certificate done w out him? Do I need to fill out a stat dec that explains he’s refusing or ignoring to sign? I even sent him an email link to fill out ONLINE and submit, the bustard couldn’t even take 2 minutes to complete that 🤬 while I’m trying to get things organised for schooling next year and it’s driving me insane. Everything comes down to needing him to do his part and that is just impossible 🤦🏻‍♀️🤦🏻‍♀️