Men gaming has some pretty negative connotations. I only started to play console and computer games regularly as a parent, in my late thirties, and I was really surprised by the development of some games that present limited save opportunities. I could be playing for an hour or more without a save opportunity, for example. That was a real shock to me.
A lot of games seemed to be designed by, and for, people that didn't have to worry about such fripperies as, saving a game to go and make meals, do laundry, pause a game and spend time with literally anyone else living in the same house.
It felt so disconnected and so out of touch, and honestly I've been in IT for 25 years, I know what it's like to be occupying a space that isn't designed for me (certainly it wasn't when I joined the industry and improvements have been slowwww.)
In fact I only started playing computer games once I got divorced and had a 50/50 situation and had this empty time without my kids that I needed to fill, beyond relentlessly cleaning the same rooms over and over.
That said... My son plays computer games. He isn't turning into some sort of bedroom-dwelling incel. My partner plays computer games (we often play the same ones!). The past few weeks I've been trying to defeat a particular character and when I managed to do it today, to my own shock, the first person I messaged was my son, and he was thrilled for me.
I don't know if this comment will be helpful or not, but - there are lots of games that allow saving and pausing at regular points, at least providing they are PC-based so that may be something to look at.
Gaming as a family is a great activity and I would recommend it, we have a laugh and help each other figure out how to make progress on a game.
Some games do seem designed to be anti-social (to the people in real life, instead of headset people) and I'd be wary of those.