  We use the recently developed methods of 2108.07810 to analyze vertical flux
backgrounds and associated chiral matter spectra in the 4D universal
$(\text{SU}(3) \times \text{SU}(2) \times \text{U}(1))/\mathbb{Z}_{6}$ model
introduced in 1912.10991, which is believed to describe the most general
generic family of F-theory vacua with tuned $(\text{SU}(3) \times \text{SU}(2)
\times \text{U(}1))/\mathbb{Z}_{6}$ gauge symmetry. Our analysis focuses on a
resolution of a particular presentation of the $(\text{SU}(3) \times
\text{SU}(2) \times \text{U}(1))/\mathbb{Z}_{6}$ model in which the elliptic
fiber is realized as a cubic in $\mathbb{P}^2$ fibered over an arbitrary smooth
threefold base. We show that vertical fluxes can produce nonzero multiplicities
for all chiral matter families that satisfy 4D anomaly cancellation, which
include as a special case the chiral matter families of the Minimal
Supersymmetric Standard Model.
