Make the crust: In a food processor, combine 10 tablespoons softened unsalted butter and 2/3 cup (80 g) powdered sugar. Process until pale in color, about 10 seconds.
Add 1/3 cup (28.67 g) Dutch-process cocoa powder, 1½ cups (187.5 g) all-purpose flour, 2 egg yolks, and 1 teaspoon vanilla extract. Pulse in short 1-second bursts (about 10 pulses) until a soft dough forms.
Turn the dough out into a 9-inch tart pan. Press the dough evenly into the bottom and up the sides of the pan. Smooth the surface. Refrigerate until firm, at least 30 minutes.
Preheat the oven to 350°F (175°C). Remove the chilled tart shell from the refrigerator and prick the bottom all over with a fork.
Bake the crust for 15 minutes, or until the crust is set and firm to the touch. Remove from the oven and let the crust cool to room temperature.
Make the caramel filling: In a small saucepan, combine 3/4 cup (178.5 ml) heavy cream and 6 tablespoons unsalted butter. Warm over low heat until the butter has melted, then remove from the heat and keep warm.
In a medium saucepan, combine 1½ cups (300 g) superfine sugar and 1/2 cup (125 ml) water. Cook over low heat, stirring only until the sugar dissolves.
Increase the heat to high and boil the sugar mixture without stirring until it turns dark golden and reaches 340°F on a candy thermometer. (Do not stir while boiling.)
Remove the saucepan from the heat and, very slowly, whisk in the warm cream-and-butter mixture (the mixture will bubble vigorously). When incorporated, return the pan to low heat and cook, stirring constantly, for 5 minutes or until the caramel has thickened.
Stir in 1/2 teaspoon fleur de sel. Pour the hot caramel into the cooled pastry shell and spread evenly. Refrigerate until the caramel is set, at least 30 minutes.
Make the chocolate glaze: Place 5 ounces (141.75 g) finely chopped dark chocolate in a medium bowl. In a small saucepan, heat 1/2 cup (119 ml) heavy cream over medium heat until it just begins to simmer. Remove from the heat and pour the hot cream over the chopped chocolate.
Let the chocolate and cream sit undisturbed for 2 minutes, then stir until smooth and glossy.
Pour the chocolate glaze over the set caramel layer and spread evenly. Refrigerate until the chocolate is set, at least 15 minutes.
Sprinkle additional fleur de sel to garnish before serving.
Store leftovers covered in the refrigerator for up to 5 days.