01 - In a large bowl, vigorously whisk sweetened condensed milk, Greek yogurt, key lime juice, key lime zest, vanilla extract, and a pinch of salt until smooth and fully incorporated.
02 - In a separate chilled bowl, whip heavy cream to stiff peaks using an electric mixer or whisk. Gently fold whipped cream into the lime mixture until homogenous and airy.
03 - Line a 9x9-inch pan with parchment paper. Transfer the lime ice cream mixture to the pan and smooth the surface evenly. Freeze for at least 4 hours until set and firm.
04 - Preheat oven to 350°F (175°C). Line a baking sheet with parchment paper to prevent sticking.
05 - In a medium bowl, combine graham cracker crumbs, all-purpose flour, baking powder, and salt. Stir until evenly distributed.
06 - In a separate large bowl, beat unsalted butter and brown sugar together until light and fluffy. Incorporate the egg and vanilla extract, whisking until smooth.
07 - Gradually add dry mixture to creamed butter mixture, stirring gently until just combined to form a cohesive dough.
08 - Scoop 16 tablespoon-sized portions of dough onto the prepared baking sheet. Flatten each slightly. Bake for 8 to 10 minutes until golden brown at the edges. Cool cookies completely on a wire rack.
09 - Once ice cream is fully frozen, use a round cookie cutter matching the cookie dimensions to cut out 8 ice cream discs.
10 - Place each ice cream disc between two graham cracker cookies, pressing gently to adhere. Serve immediately, or wrap individually and freeze until ready to enjoy.