Mixed Nut Honey Baklava

Name: Mixed-Nut Honey Baklava
Ingredients: 12 dried calamyra figs, diced 1/4-inch; 1/2 cup dark rum; 1 1/2 cups toasted walnut pieces, chopped; 1 1/2 cups toasted unblanched almonds, chopped; 1 1/2 cups unsalted butter (3 sticks); 4 ounces bittersweet chocolate, diced 1/4-inch; 1/3 cup sugar; 1 tablespoon ground cinnamon; 2 teaspoons ground cardamom; 1/2 teaspoon ground cloves; Two (1 pound) boxes phyllo dough (about 48 sheets); 1 cup sugar; 1 cup honey (preferably orange blossom), plus more for drizzling; 1/2 cup water; Juice of 1 large lemon (about 3 tablespoons)