  This article presents an alternate way to prove a result originally proven by
Harvey, Kawamuro, and Plamenvskaya in \cite{HaKaPl}. We accomplish this by
explicitly constructing an overtwisted disk in the $p$-fold cyclic branched
cover of $S^3$ with the standard contact structure branched along a carefully
selected transverse knot. Furthermore, by utilizing this construction of the
overtwisted disk, we can see that the overtwisted disk is contained in the
complement of the branch locus.
