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Cook water and honey over medium heat until honey fully melts and mixture begins a slight boil. (White sugar can be substituted for the honey.)
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Remove from heat and bring to room temperature.
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Puree honey water and remaining ingredients in blender until smooth.
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Pour into fine mesh strainer into shallow dish to remove seeds.
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Cover and freeze for at least 3 hours.
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Scrape with fork and return to freezer until ready to serve.