In this situation, when changing the traffic lane, do you have the right of way over the vehicles moving in the right lane?

In the video you are driving in the left lane towards a brick viaduct; before it your lane ends and lane-change arrows P-9 direct you into the right lane, where other cars are moving. When changing to the right lane, you do not have right of way over the vehicles moving in that lane. The answer is: no.

The Road Traffic Act states that a driver changing lanes is obliged to give way to a vehicle moving in the lane they intend to enter; only when speed is significantly reduced and a lane disappears must drivers in the adjacent lane let in one vehicle at a time, alternately. The Regulation on road signs and signals states that arrow P-9 means an obligation to move into the adjacent lane shown by the arrow. You switch on the right indicator, watch the right lane in the mirror and over your shoulder, and move into a free space, adjusting your speed to the vehicles in that lane.

Legal basis: Art. 22 para. 4 and 4a of the Road Traffic Act (Prawo o ruchu drogowym); § 87 para. 3 of the Regulation on road signs and signals