Squeeze lime juice and lemon juice into a cocktail shaker; top with sugar. Pour tequila over sugar mixture and add ice. Cover shaker and shake. Allow shaker to rest for 1 to 2 minutes.
Spread salt onto a plate. Rub the lemon around the rim of the margarita glass and dip the rim into the salt to coat. Pour margarita into glass and top with brandy-based orange liqueur.
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