Do these road markings tell you to change lanes by going to the next lane indicated by an arrow?

In the video you are driving in the left lane of a wide street in town, and white arrows pointing diagonally to the right are painted in your lane - P-9 "lane-change arrow" markings; the left lane ends shortly. These road markings require you to change to the neighbouring lane shown by the arrow. The answer is: yes.

The Regulation on road signs and signals states that marking P-9 means an order to move into the neighbouring lane shown by the arrow; the only exception is drivers of vehicles for which the further section of the lane is intended, for example those turning left in a turning lane. A lane-change arrow differs from lane direction arrow P-8: it does not say where you may go from the junction, only that your lane will end soon. The Road Traffic Act requires you, when changing lanes, to signal your intention with your indicator and to give way to vehicles in the lane you are moving into. You switch on your right indicator, check the mirror and move to the right.

Legal basis: § 87 para. 3 of the Regulation on road signs and signals; Art. 22 para. 4 and 5 of the Road Traffic Act (Prawo o ruchu drogowym)