In this scenario, are you permitted to overtake an electric scooter at a railway crossing?

In the video you are driving in a town behind a person on an electric scooter who is approaching a level crossing with half-barriers and signals. You do not have the right to overtake the scooter on the level crossing. The answer is: no.

The Road Traffic Act prohibits the driver of a vehicle from overtaking a vehicle on a level crossing and immediately before it. An electric scooter is a vehicle, so the ban covers it just as it covers a car or a bicycle; the rule provides for no exceptions, and it does not matter that the scooter is moving slowly or that the signals are off. There are two reasons: by overtaking on the tracks, you enter the lane for the opposite direction at a place where you yourself have the least room to manoeuvre, and the scooter rider may slow down or wobble on the rails, which are a trap for the small wheels of a scooter - and then you, being next to him, have nowhere to escape. There is also the requirement of at least 1 m of lateral clearance when overtaking a scooter. You stay behind it, drive across the crossing at a safe distance and overtake only after the tracks, when you have space and visibility.

Legal basis: Art. 28 para. 3 point 3 and Art. 24 para. 2 and Art. 2 point 47b of the Road Traffic Act (Prawo o ruchu drogowym)