Make the crumb topping. Preheat an oven to 350°F (177°C). In a mixing bowl, combine ¾ cup (90g) all-purpose flour, ½ cup (105g) brown sugar, 1½ tsp ground cinnamon, and a pinch of kosher salt. Add 6 Tbsp (85g) cold cubed butter, then use your hands or a pastry cutter to combine and press the mixture together until the butter is the size of small peas. Refrigerate until needed.
Cream the sugar and butter. Line an 8-inch square cake pan with parchment paper. Place ¾ cup (150g) sugar and ¾ cup (168g) softened butter in the bowl of a stand mixer fitted with paddle attachment, then beat for 2 minutes, until light and fluffy. Use a rubber spatula to scrape down the sides, then mix again. Add 3 large eggs (150g), one at a time, beating well after each addition. Beat in ⅓ cup + 2 Tbsp (100g) of sour cream. There will be small lumps visible.
Flavor with espresso. In a small bowl, whisk together 1 Tbsp vanilla extract and 2 tsp instant espresso powder until dissolved. Add this to the butter and egg mixture, then beat until just combined.
Add the dry ingredients. Sift 1⅓ cup (160g) of flour, 1½ tsp baking powder, ¼ tsp baking soda, and ¼ tsp kosher salt directly into the stand mixer bowl, then beat this into the butter mixture until well mixed.
Prepare the cake. Using a large spoon, drop heaping mounds of roughly ⅔ of the vanilla cake batter into the prepared pan, leaving spots to dollop the chocolate mixture.
Make the chocolate cake batter. To the remaining ⅓ of the batter, add 2 Tbsp (15g) cocoa powder. Beat until smooth and chocolatey throughout. Add 2 oz (57g) chopped dark chocolate, then gently fold to combine. Use the large spoon to drop mounds of the chocolate cake batter into the prepared pan, filling in the gaps. Use a knife (or the back of the spoon) to swirl the two batters together into a marbled pattern.
Bake the cake. Sprinkle the crumb topping evenly over the top, then bake for 35-38 minutes. A toothpick or cake tester inserted into the center of the cake should come out clean. Cool for 15 minutes, then remove from the pan and slice into 9 large or 16 smaller squares. Enjoy warm or room temperature!