What is every Big East Conference team's straight up win-loss record in NIT games since the 2020-2021 season?

Definitions
Team Win-Loss Record Win % MOV ATS +/-
Seton Hall 5-1-0 83.3% 9.7 +6.7
Xavier 5-1-0 83.3% 4.7 +3.3
Providence 0-1-0 0.0% -5.0 -8.5
Butler 0-1-0 0.0% -1.0 -5.5
Villanova 0-2-0 0.0% -7.0 -9.3