A branching study. Tap through — your answers change the questions you get.
The branch. Answer 3 bedrooms and Wren asks who's in them. She doesn't guess. Four different answers send you down four different paths — the guess would have been wrong most of the time, and inferring family status is the thing fair-housing law exists to prevent.
The counter. Every essential collapses inventory in real time. Nobody has to be told they've over-constrained; they watch it happen and self-correct.
The pushback. Mark enough essentials and Wren disagrees with you. An assistant that never contradicts the user is a servant, not a matchmaker.
No progress ring. A tree has no denominator, so 3 of 7 is impossible. Wren carries it in language instead.
Inventory numbers are illustrative. Depth is capped at seven nodes. The uncertain state — for when she branches wrong — is specced but not built here.