[syntheweave]

At a glance, it might be OK that way, and I would give it the gold star. It's just unintuitive to make the leap to "apply a cost to the total length of the path" as a way of expressing preferences among distinct categories of path.

Implementation of the categories as completely independent paths falls out of the clarified problem definition directly. It's really in nailing the specification that the problem is hard, i.e., even with GPT we're still programming.