I thought that game sounded familiar. It's the one where you have the girl navigate skyscrapers with parkour moves to get away from people trying to kill her. What I didn't know is that it's actually possible to fight & even steal the enemy's guns.
So it's basically an overglorified sports game with a little FPS thrown in. Doesn't get much more stereotypically manly than that.
Quite fitting, given the "don't judge people so superficially" message of the story.