Baked Alaska Ali Babas

Name: Baked Alaska Ali Babas
Ingredients: 3 tablespoons chopped currants, dried or dark raisins; 3 tablespoons chopped dried cherries or cranberries; 3 tablespoons chopped dried apricots; 3 tablespoons hot water; 3 tablespoons dark rum; 1 teaspoon active dry yeast; 3 tablespoons warm water (105 to 115 degrees F); 1 2/3 cups all-purpose flour; 1 teaspoon sugar; 1 teaspoon salt; 3 eggs, lightly beaten; 8 tablespoons unsalted butter, softened, cut into 6 pieces; 3/4 cup water; 1 cup sugar; 1/4 cup freshly squeezed lemon juice; 1/4 cup freshly squeezed orange juice; 1/4 cup dark rum; 2 1/2 cups vanilla bean ice cream; 4 egg whites (about 1/2 cup); 3/4 cup sugar; 4 teaspoons water; 1/4 teaspoon cream of tartar; Sliced fresh fruit or berries and dried cherries, for garnish