Why do you have to wait before turning right?

You answered correctly. In Germany, when turning right, you must yield to both pedestrians crossing the side street and cyclists using a designated cycle path or crossing. This is based on the rule that turning vehicles have to let pedestrians and cyclists who are continuing straight or crossing the street go first, even if you are on a priority road. The black car is not a reason to wait in this case, as it does not conflict with your turn. Remember to always pay close attention to pedestrians and cyclists at intersections, and only turn when they have safely crossed. This helps ensure safety for all road users.