Maybe I wasn't very clear about what's going on in this room (I must not have been)
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×Look at the level map for a second, does it remind you of a DROD room? (assuming you've found the other three secrets)
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×It should look vaguely like a drod room, just with some strange tiles. What you should do is use the clone in 2S2W as an input method as moves for the character in the main level map.
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If you need to think outside of the box, then you didn't build a good enough box.