01 - Blend flour, powdered sugar, and salt in a food processor. Add cold butter and pulse until mixture resembles coarse crumbs. Add egg yolk and 1 tablespoon cold water, pulsing until dough just comes together. Add remaining water if dough is too dry. Flatten into a disk, wrap 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 into pan, trim edges, and prick base with a 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 for another 10 minutes until golden brown. Cool completely.
03 - Whisk mango puree, eggs, egg yolks, sugar, and lime juice in a saucepan. Cook over medium-low heat, stirring constantly, for about 10 minutes until mixture thickens enough to coat the back of a spoon. Remove from heat and stir in butter cubes until completely melted and smooth. Strain curd through a fine mesh sieve for extra smoothness. Let cool slightly.
04 - Pour slightly cooled mango curd into the cooled tart shell, spreading evenly. Refrigerate for at least 1.5 hours or until completely set.
05 - Arrange fresh mango slices, toasted coconut flakes, and mint leaves on top before serving. Serve chilled.