  The $SU(2)_L$ triplet scalar with hypercharge $Y=0$ predicts a positive
definite shift in the $W$ mass, w.r.t.~the Standard Model prediction, if it
acquires a vacuum expectation value. As this new field cannot couple directly
to SM fermions (on its own), it has no significant impact on other low-energy
precision observables and is weakly constrained by collider searches. In fact,
the multi-lepton anomalies at the LHC even point towards new scalars that decay
dominantly to $W$ bosons, as the neutral component of the triplet naturally
does. In this article, we show that with a minimal extension of the scalar
triplet model by a heavy vector-like lepton, being either I) an $SU(2)_L$
doublet with $Y=-1/2$ or II) an $SU(2)_L$ triplet with $Y=-1$, couplings of the
triplet to Standard Model leptons are possible. This minimal extension can then
provide, in addition to the desired positive shift in the $W$ mass, a chirally
enhanced contribution to $(g-2)_\mu$. In addition version I) and II) can
improve on $Z\to\mu^+\mu^-$ and alleviate the tension in first-row CKM
unitarity (known as the Cabibbo angle anomaly), respectively. Finally, both
options, in general, predict sizable changes of $h\to\mu^+\mu^-$, i.e.,~much
larger than most other $(g-2)_\mu$ explanations where only $O(\%)$ effects are
expected, making this channel a smoking gun signature of our model.
