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1
Wrap ginger, shallots, star anise, and cinnamon stick in two layers of cheesecloth (about 17 by 17 in.); tie with heavy cotton string. In an 8- to 10-quart pan, combine beef chuck, broth, 2 1/2 quarts water, 1/4 cup fish sauce, sugar, and spice bundle. Cover and bring to a boil over high heat; uncover, reduce heat, and simmer until beef is tender when pierced, 1 1/2 to 1 3/4 hours.
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2
With a slotted spoon, transfer meat to a board. Remove and discard spice bundle. Skim and discard fat from broth. Add salt and more fish sauce to taste. Return broth to a simmer.
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3
Meanwhile, arrange bean sprouts, chilies, basil, cilantro, and limes on a platter. When beef chuck is cool enough to handle, thinly slice across the grain.
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4
Immerse sliced sirloin in simmering broth (use a wire basket or strainer, if available) and cook just until brown on the outside but still pink in the center, 30 seconds to 1 minute; lift out (with basket or a slotted spoon).
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5
Mound hot Cooked Rice Noodles equally in deep bowls (at least 3-cup capacity). Top equally with beef chuck, sirloin, yellow onion, and green onions. Ladle broth over portions to cover generously.
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6
Serve Beef Noodle Soup with platter of condiments, hoisin sauce, and chili paste to add to taste.