What should I do about my fiancé that spends little to no time with our son?

He spends 30 mins or less (usually less, a lot of times none at all) with our son. He only works one day a week and is always home, so that’s not the problem.

Me and my baby stay in our room all day, I don’t leave the room unless it’s to use the bathroom or to leave the house. I have a mini fridge and microwave in our room so that’s how I survive. Besides that point, my fiancé stays out in the living room all day, he comes to sleep after we’ve gone to bed and gets up before we’re awake in the morning. He’ll come into the room usually to grab clothes and for a few mins throughout the day, usually just if I call him asking him to bring me something. We spend zero time together, but my main concern is him not spending anytime with our baby. He says he loves him but I don’t think they’re bonded at all I feel like my baby doesn’t even know him which is really sad to me, we wanted this baby we tried for him it’s not like this was unplanned.

He blames it on me and says because I’m breastfeeding there’s nothing for him to do. I’ve told him several times if he wants to bathe, change, burp, play with, read, hold baby to just come in and do it or just offer to do it. I’ve been taking care of him 100% by myself for three months so now I have developed some sort of anxiety about others caring for him but I in no way wouldn’t allow him to, I want him to help.

Anyways, just wondering I guess if anyone has been in similar situations or what you would do if you were?

I should add I don’t go into the living room because we live with his dad who I can’t stand and don’t want him to be around my baby, moving out together isn’t an option at the moment, although I have considered moving me and baby out to my moms house I just haven’t done it because that’d be the end of our relationship which I don’t want to give up on