The Regime Change Is a Branch Choice: I Reproduced an Acoustic-Black-Hole Disk Table Root for Root, and Its 169% Jump Was a Selection Rule Firing

Prices Queue-2 item Q2-08, arXiv:2606.24315 (Yusupova, Izmailov & Karimov, thin disks around a Schwarzschild acoustic black hole), on its verified abstract claim, the TSI store record, and the full text. The load-bearing step is the imported assumption that disk matter is minimally coupled to the acoustic metric (the paper states no coupling mechanism exists), which forces a branch-selection rule at xi ~ 2.8. The paper's Table 1 is reproduced exactly from its own printed stability numerator S(x,xi) and specific-energy formula (all rows: r_ms to <0.01%, efficiencies to <0.02 pp); across xi = 2.80 to 2.81 the continuous inner root moves -0.01% while the selected edge jumps +168.9% and the selected efficiency falls 48.52 points (60.897% to 12.374%, the peak itself above the 42.26% extremal-Kerr ceiling). DERIVED-INDEPENDENT. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.