Depends on your definition of game. Transcend as in it becomes innate because you are focused centrally? I think game and masculinity are interchangeable. I think if masculinity wasn't in crisis and that it was understood, game wouldn't need to exist. But I'm curious what you mean. Please go into some depth.
Game is the idea that there is a game to be played with the object of winning. As with any game, there are a set of rules, or rather skills, to be learnt in order to become proficient. It's best compared to an art than a science.
Game in our context is about gaming women in order to seduce them one way or the other. But it's just a game, we can pick it up or put it down. So in this sense it is not definitive of masculinity, just as women are not absolutely central to our lives [though they may be a going concern].
That said, I do think that we should have an 'ultimate concern' in life... a set of meaningful goals to strive for. Perhaps because we largely lack that today, in the cultural sense, women have tended to fill the vacuum...it's perceived that the erotic adventure is the only adventure left to us.
This 'ultimate concern' should be of an existential proportion and involve such spheres as philosophy, art, and religion etc. These activities lead us into a process of becoming, into the pursuit of excellence. This is what I mean by transcending game.. as the significance of these activities are trivialized in applying them to the notion of game.
A lot of this, what is essentially old-fashioned ethics, has re-surfaced in the game community under the rubric of 'inner game'. But inner game is actually the opposite of game, which is always about learning a set of outward skills/ rules. Inner 'game' is about self-development, 'you are enough', outcome independence etc, which potentially shifts the focus away from women, where women now become a more peripheral concern. This is essential in my opinion, for as long as they are the central or ultimate concern, we empower them too much by disempowering ourselves.