In a wok or large nonstick frying pan over medium-high heat, heat the oil until hot but not smoking. Add the beef, garlic, and ginger to the pan and cook, stirring a few times, until the beef is just browned, 1 to 2 minutes. Add the broccoli and stir-fry to slightly soften, 1 minute. Add the broth, tamari, chili garlic sauce, orange zest and juice, 3/4 teaspoon salt, and 1/4 teaspoon pepper. Turn the heat to high to bring the liquid to a boil, then turn it down to medium, and simmer, stirring frequently, until the sauce thickens, 1 to 2 minutes. Serve.