Yeah, that one is painfully chaotic. Once you see into it you'll solve it without much problem, I think. Trying not to give too much away: a key action is getting a piece on the button up top on the left. How can you do that?
btw, have you solved S2? I'd love to trade intel, because I have no idea where to even start with that one. I feel like the corners are important, but I cant find anyway to leverage them or the pusher usefully. I know structures to make a combo piece, but I either can't traverse to them or don't quite have the right environment or pieces to pull them off. I think the key is figuring out how one push from me makes two adjacent objects move in separate directions. Or maybe learning how to use a lift as a catalyst. But all of it seems impossible, and besides are the S's actually teaching new techniques or just showing mastery?