Wash lime hot, grate dry, grate peel thinly. Halve lime, squeeze juice. Peel ginger thinly and grate finely. Cut mango from the stone, peel and dice flesh. Wash mint, shake dry.
Pluck off the leaves and chop roughly. Finely puree yoghurt, coconut milk, mango, oat milk, lime juice and peel, ginger, mint and sugar in a blender. Season to taste with cinnamon and cardamom. Arrange in glasses, decorate as desired with mint or orchid blossoms