I showed my work. Weren't you literally a teacher? You should know, no full credit without showing work. I thought it would be helpful for people who are interested, if there were any such people, to see for themselves how the seedings are done rather than relying on your edicts from on high.
And fwiw, which I recognize is nothing, your comment that "We lost both games, so does UTSA, and Rice wins their game. Rice has the tie breaker over us. UTSA has the tie breaker over Rice. And we have the tie breaker over UTSA." is technically incorrect. In that scenario, nobody has the tiebreaker over anyone, it's another 3-way tie, everyone has a record of 2-2. There is no pair-wise tiebreaker with more than 2 teams tied. If someone had a tiebreaker at that point, then you'd never get to the performance against best teams criterion.