Quenched SLE₃ limits for general weak random-bond Ising models

For the planar Ising model with bonds $J_e=1+\epsilon {\xi }_e$, where the ξ${}_e$ have any fixed bounded, nondegenerate, mean-zero iid law, we prove quenched chordal SLE${}_3$ convergence for sufficiently small ε > 0. The temperature is the spontaneous-magnetization threshold. Convergence holds in probability over environments for the full oriented curve law in deterministic Jordan-domain approximations.