Let's organize a tournament.

In short, Alex doesn't want to create a separate thread, so I'll write it here:
1. The idea is to hold a team tournament with 8 teams, with 1 player per faction, similar to the format of a chess olympiad. Therefore, the number of participants must be a multiple of eight (8, 16, 24, or 32).

The meaning is clear, and the idea is not bad, but what will you do if 20 people register for the tournament? This is quite possible. And the second point: during the first week, a player drops out of one team for some reason; during the second week, another player drops out of another team, again for valid reasons. This is a common situation. The first question is fundamental, and the second is based on experience.
P.S. Maybe it would be better to consider options based on the actual number of participants, rather than trying to fit the number of participants to the tournament format.
P.P.S. Regarding my second question, I think it will be impossible to find a solution for Solomonov. That's why we had to abandon tournaments with a rigidly regulated format in favor of group stages with playoffs. I don't know, maybe you've already sent out an email to all interested parties; if not, it's better to do so. Some people don't visit the forums at all, or they visit very rarely, even though they have accounts here.