01 - In a large mixing bowl, whisk together sweetened condensed milk, Greek yogurt, key lime juice, lime zest, vanilla extract, and salt until fully integrated.
02 - In a separate chilled bowl, whip heavy cream to stiff peaks using an electric mixer or whisk. Gently fold the whipped cream into the lime mixture, incorporating until smooth and uniform.
03 - Line a 9 by 9 inch pan with parchment paper. Pour the lime ice cream mixture into the pan and smooth the surface evenly. Freeze for at least 4 hours, or until fully set.
04 - Preheat oven to 350°F. Line a baking sheet with parchment paper.
05 - In a medium bowl, combine graham cracker crumbs, all-purpose flour, baking powder, and salt, mixing thoroughly.
06 - In a separate bowl, cream together unsalted butter and brown sugar until pale and fluffy. Beat in egg and vanilla extract until homogenous.
07 - Gradually add the dry mixture to the butter mixture, stirring until just combined without overmixing.
08 - Scoop 16 evenly sized tablespoon portions onto the prepared baking sheet and flatten each slightly. Bake for 8 to 10 minutes, or until golden at the edges. Cool cookies completely on a wire rack.
09 - Once the ice cream is firmly set, use a round cookie cutter matching the cookie size to cut 8 ice cream discs.
10 - Sandwich each ice cream disc between two graham cracker cookies. Serve at once, or wrap individually and freeze until ready to enjoy.