In a shaker, muddle the mint and cucumber together with the lime juice, then add the rest of the ingredients and shake for approximately 12 seconds.
Serve in an old fashioned glass filled with ice, double strain, and garnish with thin slices of cucumber peel.
Mix the water with the sapote purée and cook over low heat for approximately 6 minutes. Remove from the heat and blend with the vodka until a homogeneous mixture is obtained.
Let it cool and strain, then mix with the simple syrup.
