Make the Joconde Almond Sponge: Preheat your oven to 220C (425F). Line two large baking sheets with parchment paper and lightly grease the surface. Beat the whole eggs, almond flour, and powdered sugar on high speed for a full 5 minutes until the mixture is very pale, thick, and has roughly tripled in volume. Sift in the all-purpose flour and fold in gently using slow strokes from the bottom of the bowl upward.
In a separate clean bowl, beat the egg whites with a pinch of salt until foamy. Add the caster sugar gradually and beat to firm, glossy peaks. Fold one third into the almond mixture to loosen it, then fold in the rest in two additions using as few strokes as possible. Drizzle in the cooled melted butter and fold with three or four strokes until just combined. Divide the batter between the two prepared sheets and spread into a thin, even layer about 4 to 5mm thick. Bake each sheet for 7 to 9 minutes until just set and lightly golden at the edges. Cool completely before handling.
Make the Coffee Syrup: Combine the hot water, caster sugar, and espresso powder in a small saucepan over medium heat. Stir until the sugar dissolves completely, about 2 minutes. Remove from heat and cool to room temperature before using.
Make the Coffee Buttercream: Beat the softened butter on medium high speed for 4 to 5 minutes until very pale and fluffy. Add the sifted powdered sugar in three additions, beating well between each. Add the cooled espresso, vanilla extract, and salt, then beat on high for 2 more minutes until completely smooth and light. Set aside at room temperature.
Make the Chocolate Ganache: Place the finely chopped dark chocolate in a heatproof bowl. Heat the cream in a small saucepan until it just begins to simmer at the edges, then pour directly over the chocolate. Leave without stirring for 90 seconds, then stir from the center outward in slow circles until completely smooth. Add the butter and stir until incorporated. Cool at room temperature for 20 to 30 minutes until spreadable.
Make the Chocolate Glaze: Use the same method as the ganache. Pour hot cream over the chopped chocolate, wait 90 seconds, then stir until smooth. Add the butter and corn syrup and stir until glossy. Cool to around 32 to 35C (90 to 95F) before pouring.
Assemble the Opera Cake: Trim the baked Joconde sheets into three equal rectangles that fit your cake frame. Place the first rectangle into the base of the frame. Soak generously with coffee syrup using a pastry brush, then spread an even layer of coffee buttercream on top. Place the second rectangle on top, soak again with coffee syrup, then spread an even layer of chocolate ganache. Place the third rectangle on top, soak with the remaining coffee syrup, then spread the remaining coffee buttercream evenly across the surface. Refrigerate for at least 1 hour until all layers are firmly set.
Glaze and Finish: Pour the cooled chocolate glaze over the top surface and use your offset spatula in one smooth, confident pass to spread it evenly to the edges. Return the cake to the refrigerator for a minimum of 3 hours, or overnight for best results. To serve, remove the cake frame carefully. Warm your knife under hot water, dry it, and slice with one clean downward motion per cut. Wipe and rewarm the knife between every slice for sharp, clean edges.