Rinse the rice thoroughly under cold water, then drain.
In a large pot, combine the rice and water. Bring to a boil over high heat. Reduce the heat to low, cover the pot, and let it simmer for about 25 minutes, or until the rice is tender and cooked.
In a bowl, whisk together the plant-based yogurt, white rice flour, turmeric, white pepper, lemon juice, and salt until smooth.
Gradually pour the yogurt mixture into the cooked rice while continuously stirring. Cook over low heat for about 12-15 minutes, stirring occasionally. The soup will thicken and develop a creamy consistency.
While the soup simmers, in a separate small saucepan, melt the vegan butter over low heat. Add the crushed dried mint and sauté for a minute or until fragrant.
Portion the soup into individual bowls before drizzling the portions with the mint-infused vegan butter.
Garnish each serving with fresh mint leaves, and either a sprinkle of paprika, some red pepper flakes, or lemon zest.