01 - Place cold water, coconut milk, agave syrup, peppermint leaves, and lime juice into a blender.
02 - Blend at high speed until the peppermint leaves are finely pulverized and the mixture becomes frothy.
03 - Taste the beverage and modify sweetness or acidity by adding more agave syrup or lime juice if desired.
04 - Optionally strain the liquid through a fine mesh sieve for a smoother texture.
05 - Fill two glasses with ice cubes and pour the peppermint beverage over them.
06 - Decorate with additional mint leaves and lime slices before serving immediately.