All 53 sampled GPU payloads collapsed onto the same interior solution: `kappa_c_estimate` fixed at 1.484375 with effectively zero bracket width, `last_ladder_localization_score` stayed just above threshold at about 2.243 to 2.244, `last_min_eigenvalue` stayed strongly negative near -1225.67, `last_ladder_mass` held near 0.491, `last_dual_hinge_mass` near 0.362, `last_shell_mass` near 0.138, and `last_ladder_hinge_ratio` near 1.357 across all sampled hosts.