  The moir\'{e} structure of AB-stacked $\rm{MoTe_2/WSe_2}$ represents a
natural platform to realize Kondo lattice models, due to the discrepancy of the
bandwidth between the individual layers. Here, we study this system at the
commensurate filling of $\nu_{\rm tot}=2$. Our focus is on the $1+1$ filling
setting of $\nu_{\rm Mo} =\nu_{\rm W}=1$, which enables a Kondo lattice
description. We find a Kondo semimetal due to the sizable intra-orbital hopping
among the electrons in the $\rm{MoTe_2}$ layer. The Kondo-driven (emergent)
flat band is naturally pinned to the Fermi energy. When combined with the
inherent topology of the electronic structure, a topological Kondo semimetal
phase ensues. We calculate the valley Hall response and, due to the breaking of
inversion symmetry, also identify a spontaneous Hall effect. There is a Berry
curvature dodecapole, which leads to a fourth-order spontaneous Hall effect in
the perturbative regime of the electric field that is further amplified in the
non-perturbative regime. As such, the system provides a tunable setting to
simulate topological Kondo semimetals. Finally, we discuss the pathways that
connect the physics realized here to the Weyl Kondo semimetals and their
proximate phases that have been advanced in recent years in topological Kondo
lattice models and materials.
