  We report precision mass measurements of $^{133}$Sb, $^{133g,m}$Te, and
$^{133g,m}$I, produced at CARIBU at Argonne National Laboratory's ATLAS
facility and measured using the Canadian Penning Trap mass spectrometer. These
masses clarify an anomaly in the $^{133}$Te $\beta$-decay. The masses reported
in the 2020 Atomic Mass Evaluation (M. Wang et al., 2021) produce
$Q_{\beta^-}(^{133}$Te)=2920(6) keV; however, the highest-lying $^{133}$I level
populated in this decay is observed at $E_i=2935.83(15)$ keV, resulting in an
anomalous $Q_{\beta^{-}}^{i}=-16(6)$~keV. Our new measurements give
$Q_{\beta^-}(^{133}\text{Te})=2934.8(11)$ keV, a factor of five more precise,
yielding $Q{_\beta^i}=-1.0(12)$~keV, a 3$\sigma$ shift from the previous
results. This resolves the anomaly and indicates the possibility of an ultralow
$Q$-value $\beta$ decay in this system.
