The schema output is flawless. Gemma correctly inferred the spatial
relationships, assigned logical dimensions, and accurately linked the hallway
as the bridge between the living room and the kitchen.

Now that we have a reliable stream of JSON representing the rooms and exits,
we can write the compiler function that takes this output, assigns x and y
coordinates, and folds it into your lock-free JSON-Lisp AST structure. Are you
ready to map this output into the final engine format?