Begin by preheating your oven to 350° and greasing an 11-inch tart tin or pie plate. In a large bowl, beat together 1/2 cup almond paste, the egg yolks, and 1/2 cup softened butter until well combined. Add 1/3 cup flour and 1 teaspoon baking powder, mixing thoroughly to incorporate. Stir in 1/2 cup canned chocolate syrup until the batter is smooth and evenly colored. This base mixture forms the rich chocolate-almond foundation of your cake and should be set aside momentarily.
In a separate bowl, beat the 3 egg whites until they reach stiff peaks—this is an essential step for achieving the cake's light, airy texture. Gently fold the beaten egg whites into the chocolate mixture using on-off pulses in a food processor or careful hand-folding motions until no white streaks remain visible. Pour the combined batter into your prepared pan and bake for 15 minutes, until the cake is set but still tender. Remove from the oven and allow the cake to cool thoroughly before adding any toppings.
Just before serving, spread 8 ounces of Cool Whip or sweetened whipped cream evenly over the cooled cake. Arrange fresh strawberries attractively across the top, leaving the stems intact for an elegant presentation touch. Finish by drizzling 2 tablespoons of chocolate syrup over the entire cake. Any leftover cake should be stored in the refrigerator, though it's best to add the whipped cream, berries, and chocolate drizzle just before serving if making the cake a day ahead.