  We solve a model of electrons with Hubbard-$U$ Coulomb repulsion and a random
Yukawa coupling to a two-dimensional bosonic bath, using an extended dynamical
mean field theory scheme. Our model exhibits a quantum critical point, at which
the repulsive component of the electron interactions strongly enhances the
effects of the quantum critical bosonic fluctuations on the electrons, leading
to a breakdown of Fermi liquid physics and the formation of a strange metal
with `Planckian' ($\mathcal{O}(k_B T/\hbar)$) quasiparticle decay rates at low
temperatures $T\rightarrow 0$. Furthermore, the eventual Mott transition that
occurs as the repulsion is increased seemingly bounds the maximum decay rate in
the strange metal. Our results provide insight into low-temperature strange
metallicity observed in proximity to a Mott transition, as is observed, for
instance, in recent experiments on certain moir\'{e} materials.
