Do you even try to understand what Al Feyn is writing? Probably not, since you don't need to (you're trying to push through a version that benefits you).
Since you can't agree, according to the tournament rules, all 6 brackets must be played (18 games). You can't eliminate their third bracket at your own discretion.
I repeat, people are playing, not brackets. We are not pushing anything or eliminating anything, but rather suggesting a solution where all our players will be involved in the final of the tournament.