  Novel experimental techniques are required to make the next big leap in
neutron electric dipole moment experimental sensitivity, both in terms of
statistics and systematic error control. The nEDM experiment at the Spallation
Neutron Source (nEDM@SNS) will implement the scheme of Golub & Lamoreaux [Phys.
Rep., 237, 1 (1994)]. The unique properties of combining polarized ultracold
neutrons, polarized $^3$He, and superfluid $^4$He will be exploited to provide
a sensitivity to $\sim 10^{-28}\,e{\rm \,\cdot\, cm}$. Our cryogenic apparatus
will deploy two small ($3\,{\rm L}$) measurement cells with a high density of
ultracold neutrons produced and spin analyzed in situ. The electric field
strength, precession time, magnetic shielding, and detected UCN number will all
be enhanced compared to previous room temperature Ramsey measurements. Our
$^3$He co-magnetometer offers unique control of systematic effects, in
particular the Bloch-Siegert induced false EDM. Furthermore, there will be two
distinct measurement modes: free precession and dressed spin. This will provide
an important self-check of our results. Following five years of "critical
component demonstration," our collaboration transitioned to a "large scale
integration" phase in 2018. An overview of our measurement techniques,
experimental design, and brief updates are described in these proceedings.
