You just need to have the operations (cut lines) in a different color, that way the UI knows it’s a seperate operation. Ignore one color and do the other. Just insure nothing moves on the bed.
This is one of those “obvious when you think about it” types of hints that makes you curse at yourself thinking “why didn’t I think about it.”
What’s the source of the uncut image? What material is that? Would be fun to make some custom puzzles for the family cabin, but I don’t know how I’d get a print on a laserable material.