Heat all of the ingredients for the simple syrup in a small saucepan. Bring to a full boil, then reduce the heat to a simmer. Cook at a gentle boil for 5 minutes. Remove from heat and allow syrup to cool to room temperature. Strain syrup with a fine strainer to remove the thyme leaves. Refrigerate until ready to use. Note: Simple syrup can be saved in a sealed container in the refrigerator for up to 1 month.
Make a Cocktail:
Combine the ingredients for one cocktail in a shaker and fill with ice. Shake vigorously and serve over ice with a lemon wedge. Note: you can also make multiple cocktails at a time, or even a large batch of cocktails.
Notes
There should be enough simple syrup for 3 to 4 cocktails