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All answers having "Bartender's supply" as clue:

3 Character Answers:

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ICE



4 Character Answers:

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SODA



5 Character Answers:

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LIMES

TONIC



6 Character Answers:

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LEMONS



10 Character Answers:

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CRACKEDICE

ICESQUARES



13 Character Answers:

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CREMEDEMENTHE

STUFFEDOLIVES