Coconut Milk Rice Pudding with Tropical Fruit

Name: Coconut Milk Rice Pudding with Tropical Fruit
Ingredients: 1 cup uncooked white jasmine rice; 2 1/2 cups water; 1 (13.66-ounce) can unsweetened coconut milk , well stirred; 1 (12.2-ounce) can evaporated coconut milk (such as Nature’s Charm); 2/3 cup sweetened condensed coconut milk (from 1 [11.25-ounce] can, such as Nature’s Charm); 1 1/2 teaspoons kosher salt; Grated lime zest plus 2 tablespoons fresh lime juice, divided; 1/2 cup fresh mango, finely chopped; 1/4 cup passion fruit pulp with juice (from 2 medium passion fruits)