Sharing baby duties

How are you navigating sharing the caring for your baby with your spouse?

I'm struggling. I feel like I am doing so much more of the care for our baby. Is this just because I'm mom it's natural?

It feels like my husband is okay with just letting me take care of our one month old and only really steps in when I ask him to take him. At night if the baby is fussing he just rolls over and goes back to sleep instead of soothing him and then complains to people about being tired because of the baby being up at night 🤨

Don't get me wrong he helps with stuff around the house but with the baby always with me I feel like I can barely get a mind to myself.

Is anyone else dealing with this ? Or has any advice in how to approach the situation? I don't want to offend his or think I don't appreciate the things he does do because I also don't want to feel like our baby is just my responsibility