I moved this level into the Logic/Puzzle category. Spoiler: Why (warning includes discussion of solution) The act of sending B out of the game space and into the white space is actually a feature of Mekorama and has been stated as much by Martin Magni in his FAQs found here. Hence it is not an exploit.
Nice level but I don't enjoy as much the ones where I can't see a good deal of where I'm trying to get to. Then I feel like I'm just guessing not planning or solving. Pretty cool design.