\section*{Acknowledgment}


This work was supported in part by the National Science Foundation under Grant No. IIS 2313131, IIS 2332475, and CMMI 2037026. The authors acknowledge the University of Chicago’s Research Computing Center for their support of this work. We would also like to extend our sincere gratitude to the NSF-FMRG project team for their insightful discussions.  We also thank Thomas Desautels, Yisong Yue, Christopher Yeh, Ladd Alexander, Raul Astudillo, Jialin Song, James Bowden, and the anonymous reviewers for their engagement and feedback.