  We expand asymptotically mean-field solutions of the $p<4$ Potts glass with
various levels of replica-symmetry breaking below the transition temperature to
the glassy phase. We find that the ordered phase is degenerate and solutions
with one hierarchy of spin replicas and with the full continuous
replica-symmetry breaking coexist for $p> p^{*} \approx 2.82$. The latter
emerges immediately with the instability of the replica-symmetric one. Apart
from these two solutions there exists also a succession of unstable states
converging to the solution with the continuous replica-symmetry breaking that
is marginally stable and has the highest free energy.
