Put the 3⁄4 cup sour cream and baking powder into a mixing bowl.
Whisk well until you see air bubbles forming; this means the baking powder is reacting with the sour cream.
Add the eggs, sugar, oil, and melted butter to the bowl.
Mix everything thoroughly until the mixture is smooth and well combined.
Add the flour to the wet ingredients.
Start mixing with a spoon, then switch to your hands and knead until a soft dough forms.
Lightly flour your work surface and place the dough on it.
Knead briefly just until the dough is smooth, then cover it with a kitchen towel and let it rest for 30 minutes.
After resting, divide the dough into 6 equal pieces and shape each one into a ball.
Roll each ball out with a rolling pin, dusting with a little flour underneath so it doesn’t stick, and use a large round lid or plate to trim into an even circle.
You should get a circle like this; bake each one in a preheated 400°F (200°C) oven for 7–8 minutes. Do this with every dough ball: you start with 6, but after trimming the edges you will have enough scraps to roll one more circle, for a total of 7 layers.
Keep an eye on the layers so they don’t burn, as every oven bakes differently.
Meanwhile, prepare the cream: using a mixer, beat the full‑fat sour cream and sugar together, starting on low speed for 1 minute, then on high speed for 8–10 minutes.
To make the cream thicker, place the sour cream in a cheesecloth‑lined strainer and let it drain for 4–5 hours or, even better, overnight so the whey drips out. This gives you a rich, thick cream for the filling.
Set up your work surface for assembling the cake.
Spread a little cream on your serving plate, then place the first cake layer on top. Brush each layer with warm milk.
Spread a generous layer of sour cream filling over the cake layer.
Repeat this process with all 7 cake layers.
In a small saucepan, melt the butter.
Break the dark chocolate into small pieces so it melts faster, and add it to the melted butter.
Stir until the chocolate glaze is smooth and glossy.
Pour the glaze over the top of the cake and smooth it out with the back of a spoon. Then, using a wooden skewer, draw small circles or any pattern you like to decorate the top.
Refrigerate the cake for 5–6 hours, or ideally overnight, so the layers can soften and the flavors meld together.