We present a computation for inclusive charged-current deeply-inelastic scattering at NNLO (N$^2$LO) in QCD. Mass-dependent quark contributions are consistently included across a wide range of momentum transfers in the SACOT-$chi$ general-mass scheme. When appropriate, we further include N$^3$LO corrections in the zero-mass scheme. We show theoretical predictions for several experiments with neutrinos over a wide range of energies and at the upcoming Electron-Ion Collider. Our prediction reduces perturbative uncertainties to $sim$1%, sufficient for the high-precision objectives of future charged-current DIS measurements.