Coffee Meringue-Ice Cream Cake

INGREDIENTS

• Vegetable-oil cooking spray
• 5 large egg whites
• 1 1/4 cups sugar
• 1/8 teaspoon fine salt
• 1/4 teaspoon cream of tartar
• 1 teaspoon liquid coffee extract (preferably Trablit; culinarydistrict.com), divided
• 1 1/3 cups sliced natural almonds (4 1/2 ounces)
• 1 1/4 teaspoons flaky sea salt, such as Maldon, divided
• 3 scant tablespoons high-quality roasted coffee beans
• 2 1/2 pints coffee ice cream (preferably Haagen-Dazs)