Heat oil in a large saucepan or Dutch oven over medium-high heat. Add carrot and onion and cook 5 to 6 minutes, covered, until slightly softened. Add garlic and cumin and cook about 1 minute, stirring constantly, until fragrant.

Carefully stir in 3 1/2 cups water and Savory Infusions; bring to a simmer. Cook 15 minutes, partially covered, stirring occasionally, until vegetables are tender. Meanwhile, combine yogurt and lime juice in a small bowl.

Blend soup until smooth with an immersion blender or blender. Adjust consistency of soup with additional water, as desired (up to 1/2 cup). Serve with a dollop of yogurt mixture and a pinch of lime zest.