You say you don't have time for games and that's good... 'cause we don't either. "Game" is an ambiguous concept that gained traction in the 1990s and has since become a crutch for men and women alike. I'll have women tell me, "I want a guy who's not a game player," like I'm supposed to even know what that is.
As I've said before, most men just do. There is no "game" being played... except in a woman's head.
If he decides to skip a party you've put together with your friends it isn't part of some diabolical plot to twist your head inside out like a chef hollowing a grapefruit. If he tells you, "I could see being in a relationship with you," then he means just that: he could see it.
Women often divine what they want from what men say and do, like an oracle casting chicken bones along the ground. Stop reading what you want into a man and then perceiving game when he does the other thing.
You can start by not taking seriously anything a man says while he's in bed with you. Please, start there.