I think the way we have this set up, it should really be up to the committee to work out any three-way ties that they encounter.
One possible solution is to have a revote, where each person has to vote for their #2 choice of card or do a weighted list of each person's top three choices.
Just some ideas and none is guaranteed to solve every problem, but I really think it's the committee's responsibility to find a solution to a tie.
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