01 - In a large mixing bowl, whisk together sweetened condensed milk, Greek yogurt, key lime juice, key lime zest, vanilla extract, and a pinch of salt until smooth.
02 - In a separate chilled bowl, whip cold heavy cream using an electric mixer or whisk until stiff peaks form. Gently fold the whipped cream into the lime mixture until fully combined and the texture is smooth.
03 - Line a 9x9-inch pan with parchment paper. Evenly spread the ice cream base in the pan and smooth the top. Freeze for at least 4 hours, or until completely firm.
04 - Preheat oven to 350°F. Line a baking sheet with parchment paper.
05 - In a medium bowl, mix together graham cracker crumbs, all-purpose flour, baking powder, and salt.
06 - In a separate bowl, beat unsalted butter and brown sugar until light and fluffy. Add egg and vanilla extract, beating until fully incorporated.
07 - Gradually add the dry mixture to the wet mixture, stirring just until the dough comes together.
08 - Scoop 16 tablespoon-sized portions of dough onto the prepared baking sheet and flatten slightly with your hands. Bake for 8-10 minutes until cookies are golden brown. Allow cookies to cool completely on a wire rack.
09 - Once the ice cream is thoroughly frozen, use a round cookie cutter matching the cookie size to cut 8 discs from the ice cream slab. Sandwich each ice cream disc between two cooled graham cracker cookies.
10 - Serve sandwiches immediately for a soft texture or wrap individually and store in the freezer until ready to serve.