Lightly muddle mint and sweetener, being careful not to completely crush or pulverize the mint. You want to think of this as gently massaging the minty aroma and oils out of the leaves.
Pour lime juice and white rum into the glass. Stir until mixed.
Add ice almost to the top of the glass.
Pour club soda over ice to the top of the glass.
Gently stir the mixture several times, until well mixed. Use a spoon to scoop/stir some of the mint towards the middle and top of the drink.
Optionally, add a splash of bitters.
Garnish with mint sprig and lime wheel. Add a straw, then sip and enjoy!