Kasak won seven straight consolation matches to take third place in the NCAA Championships.
Brooks is the fifth Nittany Lion to win the trophy.
The Nittany Lions clinched the team title during Session IV of the 2024 NCAA Championships.
This is head coach Cael Sanderson's 11th national championship leading the blue and white.
The session was highlighted by three pins.
The Nittany Lions accrued four more bonus point victories in session two.