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The complete tire dual D*(T) and Tait correspondence material was giving exact counts but only via Tait colorings with XOR-to-0 conditions at high-degree vertices -- not proper edge colorings, which was the original goal. Removed: - Definition 1.13 (Complete tire dual) and its figure. - Proposition 1.14 (Tait correspondence on complete tire dual). - Remark 1.15 (Tait construction). - Remark 1.16 (octahedron verification). - Tait1880 bibitem (no longer cited; the body-text mention of Tait's theorem in the introduction remains). - experiments/draw_complete_tire_dual.py + its PNG. - experiments/draw_tait_coloring_example.py + its PNG. - fig_complete_tire_dual.png from the paper root. The partial tire dual definition (Def 1.7), structure proposition (Prop 1.8), figure, and associated scripts (tire_graph.py, draw_partial_tire_dual.py) are retained. Paper shrinks from 9 to 7 pages. Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>