01 - In a large mixing bowl, whisk together the sweetened condensed milk, Greek yogurt, key lime juice, key lime zest, vanilla extract, and salt until fully blended.
02 - In a separate chilled bowl, whip the heavy cream to stiff peaks using an electric mixer or whisk. Gently fold the whipped cream into the lime base until no streaks remain and the mixture is smooth.
03 - Line a 9x9-inch pan with parchment paper. Pour the prepared ice cream mixture into the pan, level the surface, and freeze for at least 4 hours or until solid.
04 - Preheat oven to 350°F. Line a baking sheet with parchment paper to prevent sticking.
05 - Combine graham cracker crumbs, all-purpose flour, baking powder, and salt in a bowl and stir to blend.
06 - In a separate bowl, beat unsalted butter with brown sugar until light and fluffy. Beat in the egg and vanilla extract until well combined.
07 - Gradually add the dry mixture to the wet ingredients, stirring just until a dough forms. Do not overmix.
08 - Scoop 16 tablespoon-sized portions of dough onto the prepared baking sheet and flatten each slightly. Bake for 8 to 10 minutes, or until golden brown. Allow cookies to cool completely.
09 - Once the ice cream is frozen, use a round cookie cutter matching your cookies to cut out 8 discs of ice cream.
10 - Sandwich each ice cream disc between two cookies. Serve immediately, or wrap individually and freeze until ready to serve.