  We study the $K=3$ user multiple input single output (MISO) broadcast channel
(BC) with $M=3$ antennas at the transmitter and $1$ antenna at each receiver,
from the generalized degrees of freedom (GDoF) perspective, under the
assumption that the channel state information at the transmitter (CSIT) is
limited to finite precision. In particular, our goal is to identify a parameter
regime where a simple layered superposition (SLS) coding scheme achieves the
entire GDoF region. With $\alpha_{ij}$ representing the channel strength
parameter for the link from the $j^{th}$ antenna of the transmitter to the
$i^{th}$ receiver, we prove that SLS is GDoF optimal without the need for
time-sharing if $\max(\alpha_{ki},\alpha_{im})\leq\alpha_{ii}$ and
$\alpha_{ki}+\alpha_{im}\le\alpha_{ii}+\alpha_{km}$ for all
$i,k\in[3],m\in[M]$. The GDoF region under this condition is a convex
polyhedron. The result generalizes to arbitrary $M\geq 3$.
