Do as you normally would do. So she understands "game", so what? That has no bearing on your job to lead & guide the interaction. None whatsoever.
If she knows the game well she may see whatever cracks there are in your gamesmanship. Your post (to me) implies this concern.
Do you have solid inner game? If you lack inner game and are just a packet full of PUA how-to posing as a player she will read that conflicting information off you in a flash and may find you amusing and toy with you or just brush you off entirely.
If she understands game & engages with you anyway either she likes you and/or appreciates your frame
OR
she is looking to one up you or power play you, which reveals itself very quickly. At which time you should immediately withdraw your attention from her as
@guru1000 suggests.
Learn to NEXT ruthlessly for low interest. This will save you more time & useless effort than I can ever explain.
Great "game" is a dance and can be enjoyable for both people. It suggests an understanding of one's personal power in interaction, a rewarding seduction; a partner with prowess; a genuine appreciation. Great seducers & seductresses always understand "game" & often appreciate others "in the know". It is a subconscious trait at the advanced level.
If she is high interest and finds you authentic (you have solid inner game), then she will know that you own your inherent value and this is a most reassuring thing to a woman. It allows her to relax and feel secure.
@Atom Smasher discusses this in his recent related post.
Once you have thus internalized game her understanding of "game" doesn't matter. You are the man & should do as you will.