Need advice on how to coparent…

My ex and I broke up when I was 2 months pregnant. He cheated on me, wanted me to abort her, purposely gave me STD’s + Covid, and constantly denied my child throughout pregnancy. He constantly kept asking for a dna test. Fast forward, the day I was supposed to give birth he stood me up and missed the birth. I denied him signing the birth certificate since he refused to buy anything for the baby and didn’t go to a single appointment or ultrasound. My main reason for not allowing him to sign is because he constantly told me he was never going to let me get her a passport or travel. He knows I love to travel.

I found out later he missed the birth because he was on a date with the girl he cheated on me with. She made sure to post a lot of things the SAME DAY I gave birth. He came to see my baby twice in the hospital for 20 minutes. Both times he was constantly messaging on his phone.

He has offered to buy the baby things and has never come through. Hasn’t bought her a single thing. My baby was expected to be a big baby so I bought only 3 months and up. She came out smaller than expected so I needed to buy newborn clothes. When she was a few days old he said he was going to buy her 0-3m clothes. Never happened. She’s about to be 1 MONTH and he still hasn’t gotten them. He has only come to visit my baby ONCE and that time he showed up drunk to my house.

He doesn’t help AT ALL in any way. He’s only seen her once since I have been discharged, hasn’t bought a single thing, and messages to ask about her some days. He messages me at nearly midnight and I honestly do not respond. It isn’t an appropriate time to ask. He asks about her one day and then doesn’t for the next 2-3 days. It’s a pattern. It sounds childish but I return the same energy now. I take a few days to respond to him back. I’m too tired and sleep deprived to deal with his bullshit. When he finally appears he expects me to answer his calls right away or reply immediately which I don’t. I expect him to be a consistent father and he isn’t. Also, there have been times where he has said he was going to come see her and didn’t show up. He did a no call no show. As of now, It’s been about a week since I have not responded to him. My last straw was my daughter wasn’t feeling well and ended up in the ER and he was nowhere to be found. He was MIA

How do I go about this? Eventually after I get her passport I plan on filing for cs but it’s going to look bad if he says I don’t respond to him. I expect him to be consistent and he isn’t. He has proven numerous times throughout pregnancy and after birth he just doesn’t care about her.