The steak is sautéed and the broccoli is steamed all in the same wok, making this a fast one-pan dish. Slideshow: More Thai Dishes
Put the noodles in a large bowl and cover with very hot water. Let soak until just pliable, about 15 minutes (or according to package directions). Drain the noodles in a colander, shaking off any excess water.
Meanwhile, in a small bowl, whisk the fish sauce with the oyster sauce, soy sauce, sugar, tamarind paste and Sriracha.
In a large nonstick wok or skillet, heat 1 tablespoon of the oil until shimmering. Add the steak and cook over high heat, stirring occasionally, until browned and cooked to medium, about 3 minutes. Transfer the steak to a plate. Add the broccoli and 1/4 cup of water. Cook, stirring occasionally, until the stems are tender and the florets are beginning to brown, about 4 minutes. Add the broccoli to the beef.
Heat the remaining 1 tablespoon of oil. Add the shallots, garlic and carrots and cook over high heat, stirring occasionally, until lightly browned, about 5 minutes. Add the noodles and scallions and stir-fry until heated through, about 2 minutes.
Scrape the noodles to one side of the pan and add the eggs. Cook, stirring occasionally, until nearly set, about 1 minute. Toss everything together. Add the sauce, beef and broccoli and stir-fry until the noodles are evenly coated and the sauce has thickened slightly, 2 to 3 minutes. Transfer the pad Thai to a platter. Garnish with the bean sprouts and peanuts and serve with the lime wedges.
Tamarind paste is available from Indian, Asian and Latin markets.