Was I in the wrong with my husband?

My husband and I are best friends, and I’d say we have an overall great, loving marriage.

We have 2 kids, 2 new kittens, and a dog at home, I’m a SAHM while he works 12 hour shifts. He wakes up with our 2 month old during her night feedings so I can get extra sleep (despite me insisting I can do it, he does it so I can get a break and so he can bond with her.)

Tonight I took a shower after we cleaned for 2 hours, he fed her while I showered. Then she fell asleep in his arms so he started playing a video game in bed. I asked him when I got out if he burped her, he said no not yet. I told him it needs to be after her feeding and to put the game down, he said yes I will give me a minute. Continued to play while she slept. I kept pushing him until he got off (usually he doesn’t care). Then he tried burping her, no burp. I kept pushing and telling him I expect he’d get off a video game to burp his kid so she doesn’t spit up in the night.

This offended him and said I am treating him like “a bad guy”, and then he called a timeout. This is supposed to mean we both cool off. Instead he said something snippy after so I reacted to it, and then I said something like “I just want to know youd get off the game for her.” And he said “don’t be stupid.” (Somethjng I’ve asked him to stop saying, but he has also asked me to stop being so pushy). I said dont say that, so he said “then think, you’re a smart girl.”

This pissed me off obv so I said something about how he’s making this argument toxic and he said something like “shut up please” or “just shut up.”

Then more snippy comments and we both went to bed. I told him he vowed to not let me go to bed upset and to comfort me and tell me he loves me so I can sleep, he then got pissy at this and very annoyed said he loved me.

I was upset and its past midnight at this point and he has to get up for work so he dismisses me being upset and says he wants to go to bed as he has to get up early and isn’t in the mood to talk or be lovey.

Was I in the wrong for starting it? Or him for escalating it? If Need be, please call me out. I have anxiety and worry if it’s me or him.