  The modeling of neutrino-nucleus interactions constitutes a challenging
source of systematic uncertainty for the extraction of precise values of
neutrino oscillation parameters in long-baseline accelerator neutrino
experiments. To improve such modeling and minimize the corresponding
uncertainties, a new generation of detectors is being developed, which aim to
measure the complete final state of particles resulting from neutrino
interactions. In order to fully benefit from the improved detector
capabilities, precise simulations of the nuclear effects on the final-state
nucleons are needed. This article presents the study of the in-medium
propagation of knocked-out protons, i.e., final-state interactions (FSI),
comparing the NuWro and INCL cascade models. The INCL model is used here for
the first time to predict exclusive final states of neutrino interactions. This
study of INCL in the framework of neutrino interactions features various
novelties, including the production of nuclear clusters (e.g., deuterons,
$\alpha$ particles) in the final state. The paper includes a complete
characterization of the final state after FSI, comparisons to available
measurements of single transverse variables, and an assessment of the
observability of nuclear clusters.
