Prep the pan: Line the bottom of a 9-inch (23 cm) springform pan with parchment. Lightly grease the sides or line with acetate for extra-smooth edges.
Make the crust: Stir crumbs, sugar, and salt with melted butter until evenly moistened. Press firmly into an even layer in the pan.
Bake at 350°F (175°C) for 8–10 minutes. Cool completely.
Bloom the first gelatin: In a small bowl, sprinkle 1 teaspoon gelatin over 2 tablespoons cold water. Let stand 5 minutes.
Start the dark chocolate base: Place chopped dark chocolate and butter in a heatproof bowl.
Melt gently over a saucepan of barely simmering water or in short microwave bursts. Stir until smooth, then mix in vanilla. Cool to lukewarm.
Melt the gelatin: Warm the bloomed gelatin 5–10 seconds in the microwave until just melted.
Stir it into the lukewarm dark chocolate mixture.
Whip the cream: Beat 3/4 cup cream with 2 tablespoons sugar to soft peaks—creamy and slightly droopy, not stiff.
Fold and set the first layer: Gently fold whipped cream into the chocolate in two additions. Spread over the cooled crust. Smooth the top.
Chill 20–30 minutes until lightly set.
Repeat for milk chocolate: Bloom 1 teaspoon gelatin in 2 tablespoons cold water. Melt milk chocolate as before and cool to lukewarm. Melt and stir in the gelatin, then fold in whipped cream (3/4 cup cream, 1 tablespoon sugar, 1/2 teaspoon vanilla) whipped to soft peaks.
Pour and smooth over the dark chocolate layer. Chill 20–30 minutes.
Finish with white chocolate: Bloom 1 teaspoon gelatin in 2 tablespoons cold water. Melt white chocolate and cool to barely warm.
Melt and stir in the gelatin with a pinch of salt and 1/2 teaspoon vanilla. Whip 3/4 cup cream to soft peaks and fold in. Spread over the milk chocolate layer.
Smooth the top.
Chill to set: Cover lightly and refrigerate at least 6 hours, preferably overnight, until fully firm and sliceable.
Unmold and garnish: Run a thin knife around the edge or remove the acetate. Release the springform ring. Top with shaved chocolate, curls, or berries.
Slice with a warm, dry knife for clean layers.