[Lil' Lavery]

As a quick note, if you really want the Championship to be about putting the best teams on the field, you're not going to allow 350 teams to attend regardless of how they qualify. If you're adamant about keeping the 4 divisions, you'll invite ~200-240 for 50-60 teams per division. If you don't mind ditching the divisions, you're going to invite 50-60 total teams.

That's going to drive up the matches/team and remove more of he lower-par teams from the qualifications that introduce entropy to the rankings by dragging down higher caliber teams when playing matches with them. This will result in more accurate rankings and a higher average-level of teams at the event, without so few teams as to create unreasonably short turnaround times (as happens in small events) or scarcity of robot types and quality robots by the time the 24th selection roles around.