The problem with this is that it would be hugely inefficient, and it’s far less straightforward to manipulate the puzzle at all until it is in cubeshape, so I’m not even sure a layer is doable until you are in cs. Why I think the method doesn’t work is because the cubeshape doesn’t preserve the layer and probably only a 123 on the left at best. The reduced number of possible cubeshape cases isn’t even good anyway. With shield/square and muffin/square being objectively the best cases other than square/square. Overall don’t think this method would work and if anyone can find cs algs that preserve a layer chances are they are much longer and worse