Theoretically, it can be flushed at F5: if KASS, WOO, SPENCER vote for TONY, and TONY & TRISH vote for KASS.
Tony plays the TPI, and KASS goes home. It may only work if no one knows Tony has the TPI.
Of course, at F5, it doesn't matter: the TPI can no longer be played. But you see my point. You can apply it to F7, too.