Per the rules:
Quote:
Ignore
A game mechanic. When something is ignored, it is treated as though it does not exist.
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So for the card
Shrug, the ability states:
Quote:
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Ignore target Mischief as it is being played. That card is stashed and its owner returns the gold paid for it to their purse.
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So yes, Shrug would also stop non-damaging Mischief cards.