Preheat to 350F, grease a 9-inch springform pan, and line with parchment.
Achieve fluffy perfection by whipping the butter and sugar for 3-4 minutes. Whether you prefer a stand mixer, electric beaters, or a manual approach, the choice is yours.
Gradually incorporate the eggs, one at a time, while ensuring to scrape the bowl as required. Then, seamlessly blend in the almond extract and cardamom.
Combine all-purpose and almond flours in a separate bowl, then whisk them together with baking powder and salt for a perfect blend.
Gradually blend the flours and sour cream into the creamed butter and sugar mixture. Start and finish with flour for a smooth mix. Be careful not to overbeat.
Following the use of a stand mixer, I prefer giving the batter a final hand stir to ensure even incorporation before spreading it in your prepared pan.
Place the fig halves, with their cut sides facing upwards, on the batter. Gently press them in, then evenly distribute 1 tablespoon of granulated sugar over the top.
Bake for 45-50 minutes until puffed and golden. Check with a toothpick; it should come out clean (moist crumbs are okay). Tent the cake loosely if it browns too much near the end.
To avoid stickiness, use an offset spatula to loosen the cake edges and remove the springform sides 5-10 minutes after baking.
Cool before slicing for optimal outcome.