Mix together the soft butter and the sugar. Add the flour, the baking powder and the salt. Add the egg yolks. Roll out between two sheets of baking paper at a thickness of 0.5 cm. Store in the fridge. Cut out 7 cm diameter discs and bake for 20 minutes at 180 °C (356 °F).
Heat the mango purée and pieces with the sugar. Add the hydrated gelatin. Pour into half spheres of 20 g each. Freeze.
Cut the butter into small pieces and place them in the freezer. Heat the yuzu juice with the lime zests. Mix the egg whites, the sugar and the salt together. Boil them all together. Add the hydrated gelatin and mix. Add the frozen butter and mix again. Store in the fridge. Add the whipped cream and pipe 45 g portions directly into the Flexipan® half-spheres mould, insert some mango compote. Freeze.
Prepare the baked Breton shortbread discs. Remove the halfspheres from the mould and glaze them with a mix of yellow and green-coloured neutral mirror glaze. Sprinkle some grated coconut at the base of the half-sphere, and then place it on top of the shortbread. Whip the Sublime Cream with Mascarpone. Using a piping bag with a star nozzle, pipe a cream rosette on top of the half-sphere.
Feel free to replace the yuzu with a different citrus fruit. Lime and tangerine are ideal alternatives, and more common.