Does the light signal displayed prohibit you from going beyond the traffic lights in this situation?

Why?

The directional signal for your lane is red, so you must not pass it. The arrow identifies the direction controlled by the signal, but its red colour prohibits movement in that direction.

§ 97 ust. 1 i 2 w związku z § 95 ust. 1 pkt 3 rozporządzenia w sprawie znaków i sygnałów drogowych