Chilled Coconut Lemongrass Soup with Warm Pineapple Dumpling

Name: Chilled Coconut Lemongrass Soup with Warm Pineapple Dumpling
Ingredients: 1/2 cup simple syrup (equal amounts water and sugar, heated until sugar dissolves); 2 bulbs fresh ginger, chopped; 1/3 tablespoon lime juice; 1 kaffir lime leaf, chopped; 2 stalks lemongrass, chopped; 14 ounces coconut milk; 1/4 cup heavy cream; Pineapple Dumplings, recipe follows; Tropical Fruit Salsa, recipe follows; Basil Oil, recipe follows; Pineapple Lime Bombe, recipe follows; 3 ounces sugar, plus 1-ounce sugar; 8 ounces pineapple, diced; 2 vanilla beans, scraped; 1 pinch salt; 8 ounces cream cheese; 1 egg; 1 package Gyoza wrappers; Oil; 2 eggs, separated; 6 ounces sugar; 1/8 teaspoon salt; 8 ounces pineapple puree, recipe follows; 8 ounces heavy cream, whipped; 1 lime, zested; 4 tablespoons lime juice, freshly squeezed; 1 pound 4 ounces pineapple; 3 ounces sugar; 1/4 cup pineapple; 2 tablespoons kiwi