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Optional: Prepare cocktail glass by making a slit in a lemon wedge and running the cut edge around the rim of the glass; then dip the rim in a saucer of superfine sugar to create a thin crust. Chill the glass until needed.
Combine brandy, Cointreau, and lemon juice in a cocktail shaker and fill with ice. Shake well until chilled, about 10 seconds. Strain into prepared glass; garnish with a twist of orange or lemon peel, if the urge comes across.