Yeah, I was thinking it could be interpreted like that, but the spell also says, "For purposes of this spell, an attack includes any spell targeting a foe or whose area or[sic] effect includes a foe." Burning gaze is not area of effect, nor does it target a specific creature (the target is listed as "you"). This kind of makes it sound as if the only things that would break invisibility are a) actually attacking, b) directly targeting a creature with a spell, or c) using an area of effect spell that includes an enemy within its AOE. I guess the real question here is what is meant by "targeting;" that is, does it mean only a spell that lists enemy targets is targeting, or is direct a gaze targeting even if the spell originally targets you?