4cardamom podslightly crushed with the side of a knife
Combine all cocktail ingredients in a shaker with a handful of ice; shake vigorously until the outside of the shaker is frosty. Pour into short (Old Fashioned) glass.
To make simple syrup:
Combine sugar and water in a medium saucepan over medium-high heat; cook until sugar dissolves. Remove from heat and add remaining ingredients. Allow spices to steep for at least an hour. Strain into a glass jar; cover and store leftover syrup in the fridge.