20A breakers are 80% rated devices meaning that a 20A breaker can continuously handle 16A indefinitely.
In my example I've measured the current draw of a CV in both all incandescent lamps and in all LEDs. The draw in incandescent in attract mode was 1.9A. In LED it was 1.2A.
So let's take worst case and round up to 2.0A. So a 20A breaker should be able to handle 16A/2A = 8 games.
6 or 7 games with nothing else should be fine. 8 could cause some issues. Just remember to use #12 wire as that is what the breaker is protecting, the wire, not the game.