It's not bad, don't feel bad about it. If he's a member of the household, he must take on a responsibility besides work. You are also working. He should be understanding.
Look at it like this your job is caring for the baby just like his job is to go to work. It makes most sense to me to spit the night time work regarding the baby. You also need time to breathe or you will be burnt out. What works for me and my husband is for us to have specific days during the week at night that one of us is primary caregiver and the other one gets to relax. Maybe try that?
I’m right there with you girlfriend. I’m in the exact same position. You just have to speak up about your needs and say you’re super appreciative about how hard he works but you’re needing some assistance. Ask what he’d be willing to help with so you can do x y z I am awful at asking for help myself but I’m trying to do better because when I don’t, I burn myself out and then I’m just not happy and therefore being a bad partner too. You need to be able to put you first sometimes so you can be the best most and partner you can be.