Okay, if the number exceeds 16, should we conduct a Swiss-system tournament with 8 rounds to ensure all factions are used? That seems logical. In my opinion, the main thing is to avoid conflicts between representatives of the same faction. I already wrote about the second stage – it will consist of 4 rounds, and ideally, we will complete the entire tournament in 3 months.
P.S. The most suitable option seems to be 2 groups of 12 players each, a Swiss-system tournament with 6 rounds, and the top 4 from each group advance.