  In this paper, we consider two case examples of Dirac-Born-Infeld (DBI)
generalizations of canonical large-field inflation models, characterized by a
reduced sound speed, $c_{S} < 1$. The reduced speed of sound lowers the
tensor-scalar ratio, improving the fit of the models to the data, but increases
the equilateral-mode non-Gaussianity, $f^\mathrm{equil.}_\mathrm{NL}$, which
the latest results from the Planck satellite constrain by a new upper bound. We
examine constraints on these models in light of the most recent Planck and
BICEP/Keck results, and find that they have a greatly decreased window of
viability. The upper bound on $f^\mathrm{equil.}_\mathrm{NL}$ corresponds to a
lower bound on the sound speed and a corresponding lower bound on the
tensor-scalar ratio of $r \sim 0.01$, so that near-future Cosmic Microwave
Background observations may be capable of ruling out entire classes of DBI
inflation models. The result is, however, not universal: infrared-type DBI
inflation models, where the speed of sound increases with time, are not subject
to the bound.
