CHICKEN TETRAZZINI chicken bones from 3 cooked chickens, broken into 2- to 3-inch pieces 10 cups low-sodium chicken broth (from bouillon cubes) 4 carrots, thinly sliced 4 medium onions, coarsely chopped 6 celery ribs, cut into 1-inch pieces 1 head garlic, cloves smashed 2 tablespoons whole black peppercorns 4 California bay leaves 8 whole cloves 2 sticks unsalted butter 3 lbs mushrooms, thinly sliced 2 teaspoons salt black pepper 8 tablespoons all-purpose flour 4 cups fat free evaporated milk 1/2 cup medium-dry Sherry (optional) 4 lbs spaghetti chicken meat from 3 cooked chickens, torn into 1-inch pieces 4 cups freshly grated Parmigiano-Reggiano (please? we can get huge chunks at Sam's) Bring chicken bones, broth, carrot, onion, celery, garlic, peppercorns, bay leaf, and cloves to a boil in a heavy saucepan, then simmer, partially covered, skimming froth, 30 minutes. Pour stock through a large sieve into a bowl, discarding solids, and return to saucepan. Measure stock: If more than 8 cups, boil until reduced. Keep warm, covered. Put oven rack in middle position and preheat oven to 350°F. Butter a shallow 3-quart* glass or ceramic baking dish. *(ha ha!) Heat half the butter in a large heavy skillet over moderately high heat until foam subsides, then sauté mushrooms with 1 teaspoon salt and 1 teaspoon pepper, stirring, until liquid mushrooms give off is evaporated and mushrooms begin to turn golden, about 8 minutes. Melt remaining butter in a heavy saucepan over low heat, then add flour and cook roux, whisking, 3 minutes. Add warm stock in a fast stream, whisking constantly, and bring to a boil. Reduce heat and simmer, whisking occasionally, 5 minutes. Add cream, Sherry(if using), remaining 1 teaspoon salt, and pepper to taste and simmer over low heat, whisking occasionally, 10 minutes. Cook spaghetti in a large pot of boiling salted water until al dente, then drain well. Toss together spaghetti, mushrooms, and half of sauce in a large bowl, then transfer to baking dish. Stir together chicken meat and remaining sauce in same large bowl. Make a depression in spaghetti, then spoon chicken into it and sprinkle dish with cheese. Bake until sauce is bubbling and top is lightly browned, about 30 minutes. Serve immediately.