BUR #50976 is pending approval.
create implication card_game -> playing_games
As card game should only applies to posts where a game of cards is actually being played, I think having it imply playing games would then make sense.
The only concern would be if there are posts depicting like a stack of cards or a bunch of cards lying around without anyone actually playing them. Those sound like they should fit into a tag called card game too although that would go against the current wiki.