Searches for the permanent electric dipole moment of the neutron (nEDM) provide strong constraints on theories beyond the Standard Model of particle physics. The TUCAN collaboration is constructing a source for ultracold neutrons (UCN) and an apparatus to search for the nEDM at TRIUMF, Vancouver, Canada. In this work, we estimate that the spallation-driven UCN source based on a superfluid helium converter will provide polarized UCN at a density of ~UCN/cm to a room-temperature EDM experiment per fill. With neutrons detected after the Ramsey cycle, the statistical sensitivity for an nEDM search per storage cycle will be cm (1). The goal sensitivity of cm (1) can be reached within measurement days.

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