Don't risk losing your account. Setup a test page and then email adsense support and ask. That way you have something from them if they approve it.
They did have a new adsense just for games. But I do not know if they are still doing that. But I think that is fine depending on the way you are loading it up. Though why not just put the ad over or under the games?
I have ads above the game but i think that I'll increase my CRT if 1 display the ad for 5 seconds before the game loads