What I mean is, "atai" is a childish way to refer to oneself, right? Is she saying "atai" or a more proper way to refer to oneself?
She's saying "Atai", which can be considered coarse or childish, depending on context. (Komachi and Rin use the pronoun too.)
That's different from asking whether she's saying "atai" or "me", because they're the same thing. There's simply no standard English equivalent to convey the nuances involved in using "atai" versus "atashi/watashi".
