Honestly I don't hang out with people like that. If you can't put down your Distractify 9000 to play a game with me, then clearly I am not very interesting to you and it's better for both of us to do more engaging activities with more engaging people.
People bristle at this sometimes- they'll ask why we don't hang out as much and I'll explain- and like, I get it, nobody likes feeling called out or criticized, and I don't even mean it as criticism, not really. Your behavior in reaching for your phone tells me that you have more important things to do, and I don't want to obstruct you from them. If those things aren't actually more important, well, then your priorities are clearly out of wack and you should sort that out for yourself.
Like just... stop responding to stimuli. Put things in the order in which they are meaningful to you, and then keep that. You're a conscious being, act like one.
