For the clove simple syrup: Combine the brown sugar, cloves and 1 cup water in a pan and heat until the sugar is dissolved. Allow to cool and sit for 2 to 3 hours; strain off the cloves before using. (Store any remaining syrup in a sealed jar, refrigerated, for up to 1 week.)
For the tequilarita: Add the tequila, lemon juice, orange liqueur, clove simple syrup and bitters to a shaker and fill with ice. Shake vigorously and pour into a coupe glass. Garnish with an orange peel in the glass. Repeat as needed.