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["Heat oil in a large saucepan over medium-high heat. Add carrot, celery, onion, and garlic and cook, stirring often, until softened, 5-8 minutes. Mix in lentils and add broth to cover by 1"". Bring to a boil; reduce heat, cover, and simmer, adding more broth as needed to keep lentils covered, until lentils are tender, 20-30 minutes. Mix in vinegar; season with salt and pepper. Cover and set aside; keep warm.", "DO AHEAD:", "Bring shallot, garlic, star anise, bay leaf, peppercorns, verjus, and wine to a boil in a medium saucepan and cook until reduced to 1/4 cup, 15-20 minutes. Strain through a fine-mesh sieve into a small saucepan; discard solids.", "Place saucepan over low heat and gradually whisk in butter, until butter is melted and sauce is emulsified. Whisk in tarragon and lemon juice; season with salt and pepper. Cover and set aside; keep warm.", "Heat oil in a large nonstick skillet over medium-high heat. Season fish with salt and pepper. Place fish, skin side down, in pan and cook, undisturbed, until skin is crisp and releases from pan, about 4 minutes. Turn fish, add butter to pan, and cook, tilting pan and spooning butter over fish, until opaque throughout, about 2 minutes longer.", "Stir parsley into verjus beurre blanc just before serving. Serve fish with lentils and sauce."]