IMO competitive multiplayer games aren’t great for socialization.
I mostly play games to keep up with friends who live far away, and the best games for this IMO are things like Minecraft, but casually playing an MMO or a shooter works too. Getting too into it means you have to focus too much on the game and can be worse for socializing.
Also idk about meeting people this way. I know people who have met online over gaming, but for me I’m mostly playing with people I already met. I will say the closest I’ve come to making online friends was on a public Minecraft server with about 30 regular players over the course of several years.