In a cocktail shaker, add the mint leaves, blueberries, and simple syrup. Use a muddler or the back of a wooden spoon to gently crush the ingredients. This releases the juices from the blueberries and the oils from the mint, infusing the drink with their flavors.
Add Lime Juice and Rum:
Pour in the fresh lime juice and white rum. Fill the shaker with ice, cover, and shake vigorously for about 10 seconds to mix and chill the drink.
Strain and Serve:
Strain the mixture into a tall glass filled with ice cubes. If you prefer the drink with more texture, you can pour the mixture directly into the glass without straining, keeping the muddled blueberries and mint leaves.
Top with Club Soda:
Top off the drink with club soda to add a bit of fizz. Stir gently to combine.
Garnish:
Garnish the mojito with a sprig of fresh mint, a few whole blueberries, and a lime wedge.
Notes
Serve immediately, sipping through a straw to enjoy the full range of flavors.