"Go meta" refers to the action of doing things in a metaphysical manner, that is to say, in a way that considers the effects of one's actions, instead of simply acting them out. "Meta", in a broad sense, means "self-referential", examining the self and the self's actions while at the same time being that self and performing those actions.
It might help to thing of it as going "plus one level above" and acting as if you were watching yourself doing the action.
In this case, "normal" would be to simply say things that may cause discomfort or be manipulative in nature. To go "one level above", you would openly acknowledge that your actions may have said effects, and yet still act them out.
To "go meta" in a game, you would not just perform things that would get you a good score, but also things "above the game, only visible by an existence beyond the game (the player)", such as completing achievements. These achievements have no effect in the game, but are part of the entire experience for the player.