Are you allowed in this situation to drive onto the adjacent right lane?

Why?

The lane on your right is separated by marking P-3, a solid line paired with a broken line, with the broken line on your side. You may cross it from this side and move into the right lane. Signal, take particular care and give way to vehicles already in that lane.

§ 86 ust. 4 rozporządzenia w sprawie znaków i sygnałów drogowych; art. 22 ust. 1, 4 i 5 Prawa o ruchu drogowym