  We experimentally study lateral electron transport between two 5~$\mu$m
spaced superconducting indium leads on a top of magnetic Weyl semimetal
Co$_3$Sn$_2$S$_2$. For the disordered magnetic state of Co$_3$Sn$_2$S$_2$
crystal, we only observe the Andreev reflection in the proximity of each of the
leads, which is indicative of highly transparent In-Co$_3$Sn$_2$S$_2$
interfaces. If the sample is homogeneously magnetized, it demonstrates
well-developed anomalous Hall effect state. In this regime we find the
Josephson current that takes place even for 5~$\mu$m long junctions and shows
the unusual magnetic field and temperature dependencies. As a possible reason
for the results obtained, we discuss the contribution to the proximity-induced
spin-triplet Josephson current from the topologically protected Fermi-arc
states on the surface of Co$_3$Sn$_2$S$_2$.
