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The 14-vertex 3-connected triangulation at plantri index 263993 has no vertex source admitting a witnessing 4-colouring; the level-cycle conjecture still holds on it via v0=10. Reorder the section so the level-cycle conjecture follows the failed inner-boundary refinement. Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>