What is the right course of action here?

Your choice to not overtake the cyclists immediately is correct because German traffic rules prioritize the safety of vulnerable road users like cyclists. When approaching cyclists, you should only overtake them if you can do so safely, maintaining the required minimum lateral distance of 1.5 meters in urban areas. If the conditions do not allow for a safe overtaking maneuver—such as narrow lanes or oncoming traffic—it is better to wait patiently behind the cyclists until it is safe to pass.

Using the horn to prompt cyclists to ride single file is not recommended and can startle them, potentially causing dangerous reactions. Instead, maintain a calm and attentive approach, observing the traffic situation carefully.

This rule ensures both driver and cyclist safety, particularly on roads with dedicated bike lanes, where overtaking must be done with extra caution. Always prepare for overtaking by checking mirrors and blind spots, and only proceed when you can give cyclists enough space without endangering them or other road users.