01 - In a large mixing bowl, whisk together sweetened condensed milk, Greek yogurt, fresh key lime juice, lime zest, vanilla extract, and a pinch of salt until smooth.
02 - In a separate chilled bowl, whip the cold heavy cream using an electric mixer or whisk until stiff peaks form. Gently fold the whipped cream into the lime mixture until thoroughly blended and creamy.
03 - Line a 9x9-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 until the ice cream is 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; mix thoroughly.
06 - In a separate large bowl, beat the room temperature unsalted butter and packed brown sugar until pale and fluffy. Incorporate the egg and vanilla extract, mixing until smooth.
07 - Gradually add the dry mixture to the wet mixture, stirring gently just until a cohesive dough forms.
08 - Scoop 16 tablespoon-sized portions of dough onto the prepared baking sheet. Flatten each slightly for even baking. Bake for 8 to 10 minutes, or until cookies are golden. Allow cookies to cool completely on a rack.
09 - Once the ice cream has fully set, use a round cookie cutter matching the cookie size to cut out 8 ice cream discs from the frozen mixture.
10 - Place each ice cream disc between two graham cracker cookies to form a sandwich. Serve immediately or wrap sandwiches individually and store in the freezer until ready to enjoy.