  We investigate the Yukawa coupling unification for the third generation in a
class of $\mathsf{SO(10)}$ unified models which are consistent with the 4.2
$\sigma$ deviation from the standard model of the muon $g-2$ seen by the
Fermilab experiment E989. A recent analysis in supergravity grand unified
models shows that such an effect can arise from supersymmetric loops
correction. Using a neural network, we further analyze regions of the parameter
space where Yukawa coupling unification consistent with the Fermilab result can
appear. In the analysis we take into account the contributions to Yukawas from
the cubic and the quartic interactions. We test the model at the high
luminosity and high energy LHC and estimate the integrated luminosities needed
to discover sparticles predicted by the model.
