01 - Blend flour, powdered sugar, and salt in a food processor. Add cold butter and pulse until mixture resembles coarse breadcrumbs. Add egg yolk and 1 tablespoon cold water, pulsing until dough just comes together, adding more water if necessary. Form into a disk, wrap tightly in plastic, and refrigerate for at least 1 hour.
02 - Roll chilled dough on a lightly floured surface to fit a 9-inch tart pan. Press dough evenly into pan, trimming excess edges. Prick base thoroughly with a fork. Return to refrigerator for 15 minutes while preheating oven to 350°F.
03 - Line tart shell with parchment paper and fill with baking weights or dried beans. Bake for 15 minutes, then carefully remove weights and parchment. Continue baking for 10 minutes until golden brown. Allow to cool completely.
04 - Whisk together mango puree, whole eggs, egg yolks, sugar, and lime juice in a saucepan. Place over medium-low heat, stirring continuously, until mixture thickens sufficiently to coat the back of a spoon, approximately 10 minutes. Remove from heat immediately.
05 - Add butter cubes to hot curd, stirring until completely melted and incorporated. Force mixture through a fine mesh sieve to remove any cooked egg particles, ensuring silky texture. Transfer to a clean container.
06 - Pour cooled mango curd into the completely cooled tart shell, smoothing surface with an offset spatula. Refrigerate for at least 1.5 hours or until curd is firmly set.
07 - Arrange fresh mango slices, toasted coconut flakes, and mint leaves on top just before serving. Slice with a sharp knife warmed under hot water for clean cuts.