Bakmie or mi goreng means stir-fried egg noodles, which are added to a variety of vegetables for breakfast or a snack. We like this entrée as a simple supper. Sweet soy sauce is sugary compared to the thin and thick versions of soy sauce; it balances the saltiness of regular soy in this dish. If you can't find precooked fresh Chinese egg noodles at an Asian market, substitute instant egg noodles. Cook the instant version following package directions; rinse and drain thoroughly before stir-frying in the recipe.
Heat 1 tablespoon oil in a large nonstick skillet over medium-high heat. Add chiles, shallots, and garlic to pan; stir-fry 1 1/2 minutes or until shallots and garlic begin to brown. Stir in mushrooms and leek; stir-fry 3 minutes or until leek is tender. Remove from pan, and keep warm.
Return pan to heat; add remaining 2 tablespoons oil to pan. Add sprouts and noodles to pan; stir-fry 2 minutes or until thoroughly heated. Return mushroom mixture to pan; stir in soy sauces, tossing to coat noodles. Place 1 cup noodle mixture in each of 6 bowls; top each serving with 1/3 cup tomato wedges and Thai basil. Serve with lime wedges.