01 - Combine sugar and water in a small saucepan. Heat over medium heat, stirring constantly until sugar completely dissolves, approximately 2-3 minutes. Remove from heat, add mint leaves, and let steep for 10 minutes. Strain mixture, discarding the mint leaves.
02 - Place raspberries, lemon juice, lemon zest, and mint-infused syrup in a blender or food processor. Blend until completely smooth and uniform in texture.
03 - Pour blended mixture through a fine-mesh sieve into a clean container, pressing with a spoon to extract all liquid while removing raspberry seeds for a smoother consistency.
04 - If using, stir in vodka to help maintain a scoopable texture after freezing. Mix thoroughly to incorporate evenly.
05 - Transfer mixture to a shallow, freezer-safe container. Freeze for approximately 4 hours, stirring every hour with a fork to break up ice crystals until firm and scoopable.
06 - Scoop into serving bowls and garnish with fresh mint leaves. Serve immediately while frozen for best texture.