I can understand your frustration with this situation. Hugs
I definitely understand how hard it is to have quality time together with how busy life tends to be with work and parenting and how hard that can be emotionally. Gaming could be his way of destressing. My husband plays video games every Friday night as a way to destress and help clear his mind. It’s helpful for me to remember that he’s not choosing the games over me but that the time playing games helps him to be able to be there for me more emotionally. I know he needs his time to forget about all the stresses of life just like I do. I found that it was harder when I didn’t know if he was going on because sometimes I’d expect that we’d hang out and be disappointed when that didn’t happen. Maybe have a conversation and figure out if there’s a better day that would work for both of you. Also make sure you have your own time to get away from the stresses and responsibilities of motherhood for a little while.
I get it my partner is big on gaming and plays a lot with his friends. I use to feel left out and kind of alone even in the same room with him while he played. He’s been begging me to play games with him so we dabbled in a few and surprisingly I like playing fortnite with him a lot. Idk if you’d be interested in playing any games with him but find something you both are interested in and enjoy doing. We use to play card games and board games too and it really helped me in feeling like we were getting more time for us in.
I'd feel very annoyed, especially since you had a conversation that same day. I understand that people need their own time, but it wasn't appropriate timing for him to choose that over quality time.