- 1 3-pound chicken
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2 large carrot, roughly chopped
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2 large leek, white and pale-green parts only
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1 celery stalk, roughly chopped
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1 medium onion, halved
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Kosher salt
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3 large eggs
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6 tablespoons fresh lemon juice
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1 cup long-grain white rice
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Fresh dilll, cracked black pepper, flaky sea sat and olive oil (for serving)