1 white peach, pitted
1 dash lemon juice, or more to taste
1 pinch white sugar, or more to taste
1 fluid ounce lime juice
1 (1.5 fluid ounce) jigger peach-flavored vodka
1/2 (1.5 fluid ounce) jigger triple sec (orange-flavored liqueur)
3/4 fluid ounce white cranberry juice
1/2 fluid ounce simple syrup
Blend peach, lemon juice, and sugar in a blender until smooth; measure 1 ounce of puree. Reserve remaining puree for another use.
Fill a pint glass with ice; add peach puree, lime juice, vodka, triple sec, cranberry juice, and simple syrup. Cover and shake. Strain drink into a martini glass.