01 - Whisk together sweetened condensed milk, Greek yogurt, key lime juice, key lime zest, vanilla extract, and a pinch of salt in a large bowl until fully incorporated.
02 - In a separate chilled bowl, whip the cold heavy cream to stiff peaks using an electric mixer. Gently fold the whipped cream into the lime mixture until smooth.
03 - Line a 9 by 9 inch pan with parchment paper. Spread the ice cream mixture evenly into the pan and smooth the surface. Freeze for a minimum of 4 hours until firm.
04 - Preheat oven to 350°F. Line a baking sheet with parchment paper. In one bowl, combine graham cracker crumbs, flour, baking powder, and salt. In a separate bowl, cream butter and brown sugar until light and fluffy, then beat in egg and vanilla extract.
05 - Gradually mix the dry ingredients into the wet mixture until just combined. Scoop 16 tablespoon-sized portions onto the baking sheet and flatten each cookie slightly.
06 - Bake cookies at 350°F for 8 to 10 minutes or until golden at the edges. Cool completely on a wire rack.
07 - After the ice cream has set, use a round cookie cutter matching the cookie size to cut ice cream discs. Place each disc between two cookies to form sandwiches.
08 - Serve sandwiches immediately, or wrap them individually and freeze until needed.