  A color octet isodoublet can have esoteric origins and it complies with
minimal flavour violation. In this study, we take a scenario where the well
known Type-X Two-Higgs doublet model is augmented with a color octet
isodoublet. We shed light on how such a setup can predict the recently observed
value for the $W$-boson mass. We also evaluate the two-loop Barr-Zee
contributions to muon $g-2$ stemming from the colored scalars. The parameter
space compatible with the observed muon $g-2$ gets relaxed w.r.t. what it is in
the pure Type-X 2HDM by virtue of the contribution from the colored scalars.
The extended parameter region therefore successfully accounts for both the
$W$-mass and muon $g-2$ anomalies successfully. Finally, a collider signature
leading to $\tau^+ \tau^- b \bar{b}$ final state is explored at the 14 TeV LHC
using both cut-based and multivariate techniques. Such a signal can confirm the
existence of both colorless as well colored scalars that are introduced by this
framework.
