  There are now two single measurements of precision observables that have
major anomalies in the Standard Model: the recent CDF measurement of the $W$
mass shows a $7\sigma$ deviation and the Muon $g-2$ experiment at FNAL
confirmed a long-standing anomaly, implying a $4.2 \sigma$ deviation. Doubts
regarding new physics interpretations of these anomalies could stem from
uncertainties in the common hadronic contributions. We demonstrate that these
two anomalies pull the hadronic contributions in opposite directions by
performing electroweak fits in which the hadronic contribution was allowed to
float. The fits show that including the $g - 2$ measurement worsens the tension
with the CDF measurement and conversely that adjustments that alleviate the CDF
tension worsen the $g-2$ tension beyond $5 \sigma$. This means that if we adopt
the CDF $W$ mass measurement, the case for new physics in either the $W$ mass
or muon $g-2$ is inescapable regardless of the size of the SM hadronic
contributions. Lastly, we demonstrate that a mixed scalar leptoquark extension
of the Standard Model could explain both anomalies simultaneously.
