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. Add remaining water only if necessary. Flatten into a disk, wrap in plastic, and refrigerate for at least 1 hour.
02 - Roll chilled dough on lightly floured surface to fit a 9-inch tart pan. Press dough into pan, trim edges, and prick base with fork. Refrigerate shell for 15 minutes. Preheat oven to 350°F. Line shell with parchment paper, fill with baking weights, and bake for 15 minutes. Remove weights and paper, then bake 10 additional minutes until golden. Cool completely.
03 - Whisk mango puree, eggs, egg yolks, sugar, and lime juice in saucepan. Cook over medium-low heat, stirring constantly, for approximately 10 minutes until mixture thickens and coats back of spoon. Remove from heat and stir in butter cubes until melted and smooth. Strain through fine mesh sieve for silky texture.
04 - Pour mango curd into cooled tart shell, smoothing surface with offset spatula. Refrigerate for at least 1.5 hours until completely set and firm.
05 - Arrange fresh mango slices, toasted coconut flakes, and mint leaves on surface before serving. Serve chilled, optionally accompanied by whipped cream or coconut sorbet.