Preheat oven to 325°F and prepare an ungreased 10-inch tube pan.
Whisk together flour, 3/4 cup sugar, and salt in a medium bowl; set aside.
Carefully separate egg whites into a large mixing bowl, ensuring no yolk or shell contaminates the whites.
Add vanilla and almond extract to the egg whites and beat on medium-high until frothy, about 1 minute.
Sprinkle cream of tartar over the whites and continue beating until soft peaks form, about 2-3 minutes.
Gradually add 3/4 cup sugar, 1/4 cup at a time, beating until stiff, glossy peaks form.
Gently fold the dry ingredient mixture into the beaten egg whites with a rubber spatula until no flour remains.
Pour batter into the pan and smooth the top; bake on the center rack for 40-45 minutes until golden and springy.
Invert the pan over a funnel or bottle to cool the cake completely upside down.
Rinse fresh raspberries gently and dry on paper towels.
Beat heavy cream with almond extract until frothy, then add raspberry spread and confectioners sugar; beat until stiff peaks form.
Stir half the raspberries into one third of the whipped cream and set aside.
Remove cooled cake from pan and slice horizontally into two layers using a serrated knife.
Hollow out a one-inch-wide ditch around the edges and center of the bottom layer to create space for filling.
Fill the hollowed bottom layer with the raspberry whipped cream mixture; spread remaining raspberry cream over the bottom layer.
Place top cake layer over bottom layer and frost entire cake with remaining whipped cream.
Decorate with remaining fresh raspberries and serve chilled or at room temperature.