Three Parameters, Two Masses: The Unfixed Direction in the Hidden-Charm Mixture Model

A pricing of the unfixed fit direction in Miyake and Yamaguchi's hidden-charm tetraquark mixture model (arXiv:2505.16219), computed from the record's own printed tables. The record states that its three free parameters, alpha, g_ccbar, and Lambda_q, are determined using two inputs, the central masses of X(3872) and Z(3930), and itself prints the resulting one-parameter family at alpha = 0.7, 1.0, 1.3 with the remaining parameters re-fitted (Lambda_q running 2260 to 4647 MeV). Across that family the predicted 0++ mass moves only 2.55 MeV, while the X(3872) bare-core fraction runs 14.46 to 10.33 percent (a 28.6 percent relative fall), its D0D*0 fraction runs 80.49 to 84.76 percent, the 0++ and 2++ bare fractions run through 2.05 and 3.78 points, and the potential expectation values move by 6.80, 4.27 and 6.71 MeV, the last a 28.5 percent change. The record's composition claims are values at the adopted middle point of a family it prints but does not price. The imported Godfrey-Isgur bare masses, never varied in the record, and the record's declared omitted channels are named, not priced. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.