Here's an idea to stimulate thought:
Ballots are Cardinal Ratings or Ordinal Rankings. Approval cutoffs are optional. Some default scheme is used for ballots that do not have indicated approval cutoffs.
If there is a CW, the winner is chosen by random ballot among all of the candidates that have at least as much approval as the CW.
If there is no CW, the winner is chosen by random ballot among all candidates that have at least as much approval as any of the Smith set candidates, i.e. if there is a Smith set candidate that has no more approval than candidate C, then C has a chance of winning.
Forest
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