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Heat saute pan over medium heat. Add olive oil and 1/4 cup clarified butter. Add fillets, flesh side down, to pan. Cook 6 minutes. Turn, and cook the other side for 4 minutes. Remove fish from pan to platter. Strain cooking juices and set aside. Return fillets to pan, flesh side up.
Meanwhile, in another pan, add remaining clarified butter. On medium-low heat, add tomatoes. Then add garlic. Stir gently. Stir in 1/4 teaspoon tarragon, 1 teaspoon dill, and the parsley. Add 1-ounce of Pernod, wine vinegar, and salt and pepper. Simmer gently. Add fish juices. Increase heat to high.
Stir in butter to sauce and pour over fish. Remove from heat, slide onto platter, and serve immediately.