  Following the recent update measurement of the W boson mass performed by the
CDF-II experiment at Fermilab which indicates $7\sigma$ deviation from the SM
prediction. As a consequence, the open question is whether there are extensions
of the SM that can carry such a remarkable deviation or what phenomenological
repercussions this has. In this paper, we investigate what the theoretical
constraints reveal about the \ott model. Also, we study the consistency of a
CDF W boson mass measurement with the 123-model expectations, taking into
account theoretical and experimental constraints. Both fit results of $S$ and
$T$ parameters before and after $m_{W}^{\rm{CDF}}$ measurement are, moreover,
considered in this study. Under these conditions, we found that the 123-model
prediction is consistent with the measured $m_{W}^{\rm{CDF}}$ at a $95\%$
Confidence Level (CL).
