When passing by a vehicle in the presented situation, are you obliged to exercise special caution and anticipate that someone from the bus may run into the roadway?

In the video you are driving along a street in a town next to a small square with trees; ahead of you there is a pedestrian crossing with a cycle crossing, marked with sign D-6b, where pedestrians and a cyclist are standing, and from the opposite direction a city bus is approaching, which is just passing the crossing and hiding the left side of the crossing from you. When passing the vehicle, you must be careful and expect that someone may run out onto the roadway from behind the bus. The answer is: yes.

The Road Traffic Act requires a driver approaching a pedestrian crossing to exercise particular caution, to reduce speed so as not to endanger a pedestrian who is on the crossing or stepping onto it, and to give way to them; when passing oncoming vehicles and when going around vehicles or obstacles, it requires you to keep a safe distance and, if necessary, reduce speed. The principle of limited trust allows you to assume that others follow the rules, unless the circumstances indicate otherwise - and a bus near a crossing is exactly such a circumstance: a pedestrian coming out from behind the bus may not see your car and may step onto the roadway without looking. You cannot see anything behind the bus, so you slow down and are ready to brake until you have passed the crossing.

Legal basis: Art. 26 para. 1, Art. 23 para. 1 point 1 and 2 and Art. 4 of the Road Traffic Act (Prawo o ruchu drogowym); § 47 para. 3 and 4 of the Regulation on road signs and signals