Few places I searched gave me the impression it is free but wanted to make sure. And does anyone know what (BA) ASSY F CTR means?
Well, I'd assume if it wasn't free, the ADJ (adjustment) pricing wouldn't be on there.
Other than that, I think BA stands for the Blue Aqua (is that what you had?), ASSY I think is Assembly, not sure about F, and CTR is just an identifier for the 3DS.