Extracting inputs from a Tile Sampler texture

I have a complex Tile Sampler pattern with four inputs. The tiles are overlapping and have soft edges. Now I need to generate a color map with distinct color for each of the four. Is there a clever technique to extract pattern input instances from a Tile Sampler output similar to the result of a Shape Splatter to Mask?

I thought of trying to re-creatde the texture using Shape Splatter, but it lacks a Rotation Map input.