Still, let us say that I am entering a club, in which I would like to pick up an attractive woman. A reading of The Game will tell me that I must believe myself to be the most attractive, interesting, desirable man in the room.

Sorry, but I have extensive knowledge of the seduction community and this assertion is wrong, even though it may be written in "The Game". Btw, can you quote where exactly it is written?

Mystery one of the greatest teachers in the community has coined the phrase: "Competence over confidence". The key is to have a skillset not develop some conceited self-image. Of course it may be helpful to project this image of self-confidence outwards but it is not a problem if you know that you are just playing a role. After all, it's called the game for a reason.