Brown 1 bunch leeks (halved lengthwise and sliced crosswise) in 3 tablespoons olive oil in a pot over medium-high heat, 7 to 8 minutes; add 1/2 teaspoon kosher salt. Add 3/4 cup dried brown or green lentils, 3 cups water, 1 bay leaf, 1 star anise pod and 1/2 teaspoon salt. Simmer, partially covered, until the lentils are soft, 25 to 30 minutes. Discard the bay leaf and star anise. Season with salt, top with mint and drizzle with olive oil. Serve with lime wedges.