Don’t they typically limit these tournaments to one team per conference?
Looks like there is proposed NCAA legislation on that right now
"(c) Participation is limited, by conference, to one team per conference and, by institution, to not more than once in the same event in any four-year period, except that two teams from the same conference may participate in the same three-contest (eight-team) event, provided the two teams are on opposite sides of the bracket and the same conference is not represented by two teams more than once in the same event in a four-year period. Only one conference may have two teams participate in the same threecontest (eight-team) event annually"