The wing must generate additional lift through the turn in order to both support the wieght of the plane and turn it.

To do that, assuming constant speed and altitude through the turn, then the wing must fly at a higher angle of attack. Hence, you see the tail drop. That's why we must provide some elevator input to maintain altitude through the turn. That's normal, there is nothing to correct.

If you don't like seeing the tail drop, you could simply fly faster through the turn to make up for the elevator input (AoA increase) that you'd normally need to feed in order to maintain altitude. So, perhaps just give a bit of throttle as you enter the turn and reduce it as you level out.