Jimulacrum
Full House
Some players will try to declare this a foul or misdeal, but (a) a foul (full rollback of all bets) happens when the deck is improperly constituted from the start, like two
or something, and (b) a misdeal can only be called before significant action has taken place. Neither applies here, and it's important for game integrity.*
The hand must play on. Shuffle the contaminated stub thoroughly and deal it out as best you can. Random is random. It's unfortunate the discards got drawn into the stub, but this is the best solution.

The hand must play on. Shuffle the contaminated stub thoroughly and deal it out as best you can. Random is random. It's unfortunate the discards got drawn into the stub, but this is the best solution.
The reason it's important for game integrity is simple. A dishonest person could strategically mess up the stub in situations where he (or a friend or accomplice) stands to get his money back after realizing he's beaten, and it would be easy to make it look like an honest mistake.
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