  In the last decade, rotational and translational symmetry-breaking phases --
electronic nematicity and density wave order -- have been established as
generic and distinct features in the cuprate phase diagram. However, their
relationship to the pseudogap phase has remained unclear. In this study, we
employ resonant x-ray scattering in the cuprate high-temperature superconductor
La$_{1.6-x}$Nd$_{0.4}$Sr$_{x}$CuO$_{4}$ (Nd-LSCO) to probe the relationship
between electronic nematicity of the Cu 3$d$ orbitals and hole doping. We find
evidence for a considerable decrease in electronic nematicity in the vicinity
of the pseudogap quantum critical point, $p^{*}$, either by raising temperature
through the pseudogap onset temperature $T^{*}$ or increasing doping through
$p^{*}$. These results establish a link between electronic nematicity, the
pseudogap and its associated quantum critical point in overdoped cuprates.
