On a small plate, stir together the lime zest and granulated sugar until well combined.
Rub the lime wedge on the outer rim of a highball or lowball glass and roll the glass in the sugar to coat the rim. Set aside.
Fill a cocktail shaker halfway with ice. Add the apple juice, lime juice and 6 mint leaves. Shake vigorously for about 20 seconds.
Fill the glass with ice and strain the mocktail into the glass. Top with ginger beer.
Garnish with mint leaves and enjoy!