In this study, we examine the effectiveness of the proposed Runaway Electron Mitigation Coil (REMC) design for the SPARC tokamak using the Disruption Runaway Electron Analysis Module (DREAM). REMC is a passive coil system that exploits the strong electric field present during disruptions to generate magnetic fluctuations, thereby inducing the loss of runaway electrons. Our investigation focuses on evaluating the REMC design's ability to sufficiently suppress runaway electrons during disruptions, ensuring the safety and longevity of the tokamak's structural components. We present our findings and offer insights into potential improvements for the REMC design to enhance its mitigation capabilities. This work is supported by Commonwealth Fusion Systems.