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1
Adjust oven rack to upper-middle position and heat oven to 450 degrees. Toss garlic in bowl with 1 teaspoon oil and sugar. Microwave garlic until slightly softened, with light brown spotting, about 4 minutes, stirring halfway through microwaving.
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2
Pat chicken dry with paper towels and season with 1 teaspoon salt and 1/2 teaspoon pepper. Heat remaining 1 teaspoon oil in 12-inch ovensafe skillet over medium-high heat until just smoking. Place chicken in skillet, skin side down, and cook until skin is well browned, 7 to 10 minutes. Transfer to plate, skin side up. Pour off all but 1 tablespoon fat from skillet. Reduce heat to medium-low, add garlic, and cook until evenly browned, about 1 minute.
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3
Off heat, add sherry to skillet. Return skillet to medium heat and bring sherry to simmer, scraping up any browned bits. Cook until sherry coats garlic and pan is nearly dry, about 4 minutes. Stir in broth, cream, cornstarch mixture, thyme, and bay leaf and simmer until slightly thickened, about 3 minutes. Return chicken to skillet, skin side up, with any accumulated juices. Transfer skillet to oven and bake until chicken registers 175 degrees, 18 to 22 minutes.
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4
Transfer chicken and half of garlic to serving dish. Discard thyme and bay leaf. Using potato masher, mash remaining garlic into sauce, and season with salt and pepper to taste. Pour half of sauce around chicken. Serve, passing remaining sauce separately.
