Squeeze the juice of 1 lime into a cocktail shaker and keep half the spent shell. Add 60ml of aged Jamaican rum, 15ml of orange curaçao, 15ml of orgeat, and 7.5ml of rich simple syrup.
Fill the shaker with shaved ice, shake until cold, and pour everything into a large glass. Drop in the lime shell and float a mint sprig at the edge of the drink.