In this situation, are you allowed to overtake the vehicle moving in the right lane?

In the video, you are approaching an intersection with functioning traffic lights showing a green signal. According to Art. 24 para. 7 pt. 3 of the Road Traffic Act, the prohibition on overtaking at an intersection does not apply at junctions where traffic is directed. Since traffic is controlled by lights here, you have the right to overtake the vehicle in the right lane.