Preheat oven to 350°F. Line an 8×8-inch or 9×9-inch pan with foil and spray with nonstick cooking spray.: The kitchen will fill with warmth almost immediately, and the faint scent of warming air gives you a sense of progress. Preheating ensures even rise and predictable bake time, and lining the pan with foil makes removal effortless, so you avoid scraping the edges. Spray the foil lightly so the cake releases cleanly. A common mistake is skipping the spray or using dull foil which can stick; to avoid that, make sure the spray covers the foil evenly and the foil is pressed into corners to eliminate air pockets.
Make the filling by whisking brown sugar, cinnamon, espresso powder, and flour in a small bowl. Set aside.: The aroma of cinnamon and espresso powder mingling with brown sugar is immediately inviting, like a sugared coffee crumble. Whisking aerates the mix so the filling remains light and distributes flavor evenly when layered. The little bit of flour prevents the filling from dissolving into the batter while baking. A pitfall is measuring the spices unevenly which can make one flavor dominate; take a breath and level your spoons for balance.
Make the cake by first whisking the flour, baking powder, and salt in a small bowl. Set aside.: Combining all purpose flour , baking powder , and salt ahead of time creates a uniform leavening system so the batter rises evenly. The dry mix will look light and slightly aerated, which translates into a tender crumb. If you skip this step, you risk uneven pockets of leavening or dense spots. A common oversight is not sifting or whisking enough, leaving lumps of baking powder that can create small tunnels in the cake.
In a large bowl, stir or mix melted butter with brown sugar until smooth. Add egg and vanilla extract, then add milk, cooled coffee, and dry ingredients. Stir until smooth (may have a few lumps).: When the butter and brown sugar come together, they form a glossy, slightly granular mixture that smells rich and caramel like. Adding the egg makes it silkier, and the cooled brewed coffee infuses the batter with roasted aroma and color. Folding in the dry ingredients creates a batter that is slightly thick but spreadable; a few lumps are fine and help keep the cake tender. Overmixing can develop gluten and lead to a tough crumb, so stir until just combined and stop when streaks of flour disappear.
Pour about 2/3 of the batter into the bottom of the prepared pan and spread into a thin layer. Top with filling. Drop spoonfuls of remaining cake batter on top and spread to a thin layer to mostly cover.: Spreading the base layer evenly creates a stable bed for the filling, and the dark filling will peek through in ribbons once baked, making each slice visually appealing. Dropping the remaining batter in spoonfuls rather than pouring keeps the filling in place and allows the top to bake with delicate pockets of cake. The contrast of soft batter and grainy filling is part of the charm. Avoid trying to make the top perfectly smooth, as slight breaks in coverage let the streusel sink in and create texture.
Make the streusel by whisking brown sugar, flour, cinnamon, and instant espresso powder in a medium size bowl. Add melted butter and stir with a fork until crumbly. Spread streusel over cake batter in pan.: As you mix, the streusel should form pea sized crumbs that smell like toasty cinnamon and coffee. The melted butter binds the crumbs just enough so they bake into crunchy clusters, offering a satisfying contrast to the soft cake beneath. Spread it evenly but not pressed in so the crumbs stay loose and crisp. A common mistake is adding too much butter which makes the streusel greasy and causes it to sink into the cake; add butter gradually until you reach that perfect crumbly texture.
Bake for 22-28 minutes, or until the crumble is golden brown and a toothpick comes out clean from the center of the cake. Cool before making icing.: During baking, the kitchen fills with an irresistible coffee and caramel aroma, and you should see the streusel turn a warm golden brown. The toothpick test confirms doneness without overbaking, preserving moisture in the crumb. Cooling before icing prevents the glaze from melting into the cake and keeps the drizzle visible and glossy. A frequent error is leaving the cake in the pan too long after baking which can trap steam and soften the streusel; transfer it to a cooling rack when it is firm enough to lift.
Remove cooled cake from the pan using the foil overhang. Carefully remove foil and transfer to serving plate.: Lifting the cake by the foil overhang is a clean, efficient way to move it without breaking the edges. As you peel back the foil, the underside should be golden and set. Let it rest briefly so the structure firms for neat slicing. Ripping the foil away too quickly can tear the cake, so peel slowly at a low angle for a smooth release.
Whisk powdered sugar and 1 tablespoon cooled coffee, adding more coffee as needed to get icing that will drizzle. Drizzle over cake.: The powdered sugar mixed with cooled coffee becomes a glossy, pourable glaze that settles into the streusel crevices and highlights the texture. Start with one tablespoon of coffee and add a drop at a time until you reach a ribbon like consistency that flows but does not run. The aroma of the coffee carries through the sweet glaze, making each bite sing. If you add too much coffee the glaze will be runny and soak into the cake, so adjust slowly.
Slice and serve. Store in an airtight container at room temperature for several days or freeze for up to a month.: Slicing reveals the marbled layers of filling and cake, and the first forkful should combine soft crumb, crunchy streusel, and a coffee kiss from the glaze. Room temperature storage keeps the texture balanced, while freezing extends shelf life; thaw slowly to retain moisture. A mistake to avoid is refrigerating the cake, which can dry it out, so keep it at room temperature in an airtight container unless you plan to freeze individual slices.