Neutrino Mass-Squared Ratio from the Braid Atlas

We present a parameter-free structural prediction of the neutrino mass-squared ratio from the GTE Braid Atlas, using only the QCD colour rank N_c = 3 and the right-handed neutrino b-values \5, 11, 19\. The result, m^2_21/ m^2_31 = 0.02936, matches the NuFIT 6.0 global fit (0.02951 0.00098) to 0.16 (0.52\%) with normal mass ordering automatic. The seesaw exponent 29/9 = N_c + _Koide admits three independent structural decompositions (Braid Atlas topology, mirror-offset invariant , and SO(10)/SU(5) representation dimensions), all converging on 29/9. The integer 29 = (adj_SO(10)) - (spinor_SO(10)) is Lean-certified as seesaw\_index\_is\_gauge\_matter\_defect (zero sorry). The Froggatt-Nielsen texture (q_1,q_2)=(3,2) is MDL-uniquely selected (fn\_structural\_texture\_existence\_and\_uniqueness, zero sorry). The structural Dirac scale E_D = v_H/29 places m_ [55,75] meV within the Planck bound with no cosmological anchor. Three PMNS mixing angles follow from the same orbit-ratio structure: ^2_12 = 4/13 (+0.01 NuFIT 6.0), ^2_23 = 19/42 (-1.35, within 3), _13 = 11/73 (+1.0); ^2 = 0.564. The CP phase _CP = 205.71^ and Jarlskog invariant J_GTE = -(8184437/5057221)(/7) are machine-certified (zero sorry). Preregistered falsification criteria for JUNO, DUNE, CMB-S4, and Hyper-Kamiokande are listed.