Prepare dry ingredients: Sift cake flour and half of the sugar together multiple times (recipe says three times, but once is acceptable). Mix in half a teaspoon of salt.
Separate egg whites: Separate egg whites from yolks carefully, ensuring no yolk contaminates the whites. Use room temperature eggs for stability.
Whip egg whites: Whip egg whites until foamy. Add cream of tartar and water to stabilize. Continue whipping until stiff but not dry peaks form.
Add sugar to egg whites: Gradually add remaining sugar one tablespoon at a time while whipping, until soft peaks form.
Fold in extracts: Gently fold in vanilla and almond extracts into the whipped egg whites using a spatula with a cut-and-lift motion to maintain airiness.
Incorporate flour mixture: Gradually fold the sifted flour mixture into the egg whites in portions, using the cut-and-lift technique to keep the batter airy and fully incorporated.
Prepare pan and bake: Pour batter into an ungreased angel food cake pan. Smooth the top. Bake in a preheated oven at 350°F (175°C) for about 40-60 minutes, checking at 40 minutes for doneness.
Cool cake: Immediately invert the cake pan after baking to cool completely for at least 30 minutes to maintain fluffiness.
Remove cake from pan: Run a flat spatula or knife around the edges to loosen the cake, then carefully remove it from the pan.
Serve: Slice the cake and serve with whipped cream and fresh berries.