Start by placing the fresh mint leaves in the bottom of a tall, sturdy glass. Pour the simple syrup over the leaves. Use a muddler to gently press and twist the mint leaves for about a minute. The goal is to release their fragrant oils without tearing them into tiny pieces, which can make the drink bitter.
Next, squeeze your fresh limes to get about two ounces of juice. Using a citrus juicer can help you get the most juice out of each lime. This fresh juice is crucial for the bright, crisp flavor of your mojito, so avoid the temptation to use bottled juice.
Pour the freshly squeezed lime juice into the glass with your muddled mint. Add the white rum and the blue curaçao. Give the mixture a good stir to combine all the liquids thoroughly, creating the beautiful blue base for your cocktail.
Fill your glass to the top with ice. This will keep your drink perfectly chilled. For a professional look, tuck a few thin lime wheels between the ice and the side of the glass. This adds a fantastic visual element that makes the drink even more appealing.
Finally, top off the drink with lime-flavored soda water or club soda, pouring it slowly to preserve the fizz. Garnish your creation with a large, fresh mint sprig and another lime wheel on the rim of the glass. Serve it immediately and enjoy the refreshing taste.