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Counterexample search uncovered: T1 = (m_1=3, chord=(0,3), SP) at γ=6 has |π_D| = 18, but the conjectured rainbow combined orbit has size 36 — only 6 of the 36 elements actually lie in π_D, and the literal generator pattern (1,2,3,2,3,1) is itself missing. Refined conjecture adds m_1 ≥ m precondition (same threshold from step 1 "saturation iff m ≥ k"). Under this precondition all 44 tested strict-Latin pairs are still compatible. Pointer to log path included. Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>