We thank A. Antoni, M. MacLeod, R. Rafikov, J. Stone, and Z. Zhu for fruitful discussions and guidance. We thank the referee for their thorough review, which significantly improved the quality of our manuscript. The UCSC team is supported in part by the Heising-Simons Foundation, the Vera Rubin Presidential Chair for Diversity at UCSC, and the National Science Foundation (AST-2307710, AST-2206243, AST-1911206, DGE-1842400, and AST-1852393). This work was supported by NASA Astrophysics Theory Program grant 80NSSC18K1018. The authors acknowledge use of the lux supercomputer at UC Santa Cruz, funded by NSF MRI grant AST 1828315. X.H. is supported by the Sherman Fairchild Postdoctoral Fellowship at the California Institute of Technology. S.W.D. acknowledges funding from the Virginia Institute for Theoretical Astrophysics (VITA), supported by the College and Graduate School of Arts and Sciences at the University of Virginia. This work used the computational resources provided by the Advanced Research Computing Services (ARCS) at the University of Virginia. This work used Stampede 2 at Texas Advanced Computing Center through allocation AST150042 from the Advanced Cyberinfrastructure Coordination Ecosystem: Services & Support (ACCESS) program, which is supported by National Science Foundation grants 2138259, 2138286, 2138307, 2137603, and 2138296.