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Combine first 3 ingredients in a cocktail shaker. Press leaves against bottom of cup using a muddler or wooden spoon to release flavors; stir in tomato juice and next 7 ingredients. Transfer half of mixture to a 2-cup glass measuring cup.
Place ice in cocktail shaker, filling halfway full. Cover with lid, and shake vigorously until thoroughly chilled. Strain into a glass over ice. Repeat procedure with remaining tomato mixture. Garnish, if desired.
Note: For testing purposes only, we used Tabasco Green Pepper Sauce.