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Adjust rack to top position and preheat oven to 425 degrees. Wash and dry all produce. Bring 1 TBSP butter (2 TBSP for 4 servings) to room temperature. Cut potatoes into ½-inchthick wedges. Halve, peel, and mince shallot. Halve tomato crosswise; thinly slice one half into rounds and finely dice other half (for 4, slice whole tomato into rounds; dice remaining tomato). Halve lime. Halve buns.