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Adjust rack to top position and preheat oven to 425 degrees. Wash and dry all produce.
Cut potatoes into ½-inch-thick wedges. Trim and thinly slice cucumber crosswise into rounds. Trim, peel, and grate carrot on the largest holes of a box grater. Roughly chop cilantro. Halve lime. Halve, peel, and thinly slice half the onion (use the rest as you like). Peel and mince ginger.