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N=6's documented obstruction is sharpened from a proof-technique limitation to a verified, algebraically exact structural fact: the N=4-template contour construction's saddle-pinned heights coincide EXACTLY with two of N=6's five resonance loci along their entire length (not approximately, and not at isolated points), confirmed via an exact algebraic identity and calibrated against N=4 (whose own saddle heights miss its resonances by a clear margin, confirming this is N=6-specific). This rules out the direct N=4-template transplant specifically, for a precise reason -- it does not prove no technique whatsoever could work at N=6, and two escape routes remain explicitly open. N=6 remains OPEN. Reviewed adversarially (Reviewer AV).