The problem was actually described in the agent output that I hadn't read when requested that additional feature:

> Distances only fix the layout up to translation, rotation and mirror image. That doesn't matter for the maths, but the map I'm shown has to match the real room, so the UI needs "rotate" and "flip" controls, or a way to say "Blue is next to the door".

https://github.com/simonw/beep-locator/blob/main/problem.md#...