  I examine the fate of a kinetic Potts ferromagnet with a high ground-state
degeneracy that undergoes a deep quench to zero-temperature. I consider single
spin-flip dynamics on triangular lattices of linear dimension $8 \le L \le 128$
and set the number of spin states $q$ equal to the number of lattice sites $L
\times L$. The ground state is the most abundant final state, and is reached
with probability $\approx 0.71$. Three-hexagon states occur with probability
$\approx 0.26$, and hexagonal tessellations with more than three clusters form
with probabilities of $\mathcal{O}(10^{-3})$ or less. Spanning stripe states --
where the domain walls run along one of the three lattice directions -- appear
with probability $\approx 0.03$. "Blinker" configurations, which contain
perpetually flippable spins, also emerge, but with a probability that is
vanishingly small with the system size.
