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Full uniform-family CSP at n=14 --no-tri (4403 tiles, 193 branching) is FEASIBLE: one family threads every tile incl. branching nodes (outer rim + both inner faces at once). Independent candidate test threads 193/193 branching tiles. Witness is fully regular: sigma_m = 0^m if m even (monochromatic), 0^(m-2)12 if m odd. So on the 4CT-relevant class the chained pigeonhole is constructively resolved throughout the tested range (n=9,12,14, incl. branching). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>