Start by preparing the sugarcane juice. If you have access to fresh sugarcane, peel and chop it into small pieces. Place the sugarcane pieces in a blender or juicer and blend until you get a smooth juice. If you don't have fresh sugarcane, you can use store-bought sugarcane juice.
Squeeze the lime to extract its juice. You can adjust the amount of lime juice according to your taste preferences.
In a pitcher or large mixing bowl, combine the sugarcane juice, lime juice, and honey (or simple syrup). Stir well to ensure the honey (or simple syrup) is fully dissolved.
Fill four glasses with ice cubes.
Pour the guarapo mixture over the ice cubes in each glass, dividing it evenly.
If desired, garnish each glass with fresh mint leaves for a refreshing touch.
Stir the guarapo gently to incorporate the flavors and chill it further.
Serve the American Guarapo immediately and enjoy!