Yeah, we're still very far from a machine routing PCBs. Nice project, though, looks pretty fun to do it with an AI.
I researched a bit on how to manufacture PCBs at home, and i came across Voltera V one. The price is indeed way too high, but I am hoping somebody will make a foss version of it. There are already pretty interesting foss PnP machines.
Machine routing is very old thing. Early Eagle did it fine. I worked 12 years ago on 4 layer pcb initially routed with Eagle. Layers with horizontal and vertical wires were unusual at the time, but the board worked fine. It’s the connector placement according enclosure design files, part management/availability/obsolescence and design for test what needs reliable automation. The tool may not hallucinate here.