Ties in Nevada caucuses will be decided by drawing cards from a deck that has been shuffled seven times. The higher card wins. (Suit matters – spades are high, then hearts, clubs, and finally diamonds.). I can’t find a source that says if the players draw at random from the deck or if they take from the top (and if they take from the top, who takes first?)
This is a sighting of seven shuffles suffice in the wild. In this case it’s probably overkill, because the whole deck doesn’t need to be well-mixed.