Stably free cancellation for group rings of metacyclic type

Let
$p,q$
be primes such that
$q\,|\,p- 1$
. Write
$F_{n}$
for the free group of rank
$n\geq 1$
and let
$G(p,q)=C_{p}\rtimes C_{q}$
. We show that any stably free module over
$\mathbb{Z}[G(p,q)\times F_{n}]$
is necessarily free.