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Wash and dry produce. Trim, peel, and cut carrots on a diagonal into 1⁄4-inch-thick pieces (halve lengthwise first if carrots are on the larger side). Halve, peel, and thinly slice onion. Cut broccoli into bite-size pieces if necessary.
Rinse shrimp* under cold water, then pat dry with paper towels, or open package of chicken* and drain off any excess liquid. Heat a drizzle of oil in a large pan over medium-high heat. Add shrimp or chicken in a single layer; season with salt and pepper. Cook, stirring occasionally, until cooked through, 4-6 minutes. Turn off heat; transfer to a plate. Wipe out pan.