  Denote by $V$ the poset consisting of the elements $\{A,B,C\}$ with cover
relations $\{A\lessdot B, A\lessdot C\}$. We show that $P$-strict promotion, as
defined by Bernstein, Striker, and Vorland, on $P$-strict labelings of $V\times
[\ell]$ with labels in the set $[q]$ has order $2q$ for every $\ell\ge 1$ and
$q\ge 3$ as conjectured by Bernstein, Striker, and Vorland. This resolves the
equivalent conjecture of Hopkins that the order of piecewise-linear rowmotion
on the order polytope of $V\times [k]$ has order $2(k+2)$ for all $k\ge 1$.
