Peel and core pineapple. Cut into chunks, and reserve 8 pieces. Puree the rest of the pineapple in a food processor or blender. In a large pitcher, add mint, arugula, limes, and brown sugar.
Crush the leaves with a spoon, muddle it really well.
Add pureed pineapple, pineapple juice, and rum. Add a good splash of club soda.
Pour over ice, and garnish with pineapple chunk, mint, and more limes.
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