Could it write a deterministic constraint solving program that at least gives it a head start at narrowing down options?

I tried doing something like this Ox Alpha with Opus advisor, having it work layer by layer (specs -> rooms -> room graphs ...), but each deliverable ended up a mess.

The curious thing is when I pointed out the flaws it fixed them quickly, but it's not something it can do without supervision, and supervising it takes more effort than doing the blueprint myself (to be fair, I'm not an architect, so I'm not the best at steering an LLM for this task).