Inside-Out German Chocolate Cake

INGREDIENTS

• 1 1/2 cups sugar
• 4 ounces coarsely chopped pecans (1 cup)
• 1/8 teaspoon almond extract
• 3/4 teaspoon baking soda
• 1 tablespoon vanilla
• 1 large egg
• 3/4 cup boiling-hot water
• 2 1/2 sticks unsalted butter
• 14-ounces can sweetened condensed milk
• 3/4 cup whole milk
• 3 tablespoons light corn syrup
• 3/4 teaspoon salt
• 3/4 teaspoon vanilla
• 3/4 teaspoon baking powder
• 1 1/2 cups all-purpose flour
• 7 ounces sweetened flaked coconut
• 6 tablespoons unsalted butter, melted
• 1 large egg yolk
• 10 ounces fine-quality semisweet chocolate
• 1/2 cup plus 1 tablespoon unsweetened Dutch-process cocoa powder