Vanilla Bean Haupia Coconut Pudding with Caramelized Plantains

Name: Vanilla Bean Haupia Coconut Pudding with Caramelized Plantains
Ingredients: 1-2/3 cups full-fat canned coconut milk (1 14.5-ounce can); 2 tablespoons canned coconut cream (see note); ½ vanilla bean seeds and pod; 1/4 cup granulated sugar; 1/4 teaspoon kosher salt; 2 tablespoons cornstarch; 2 tablespoons water; 6 tablespoons unsalted butter (divided); 1 large ripe but firm plantain (sliced at an angle into 1/4-inch thick pieces); 3 tablespoons light brown sugar; 1 teaspoon ground cinnamon; 1/4 teaspoon nutmeg; 1 teaspoon pure vanilla extract