in the paper our contributions, algorithmic guarantees, and the conditions required for applying specific results. 2 Reviewer 1 (R1)

We thank the reviewers for their insightful comments. We have done experiments showing that the Sortition Foundation's greedy algorithm gives Thanks for suggesting Banaszczyk's result: an algorithmic version is in [2,Thm 5.3]. Additionally, in Appendix D.4, we provide several pieces of