I'm making (another) plane game but the propeller, which is parented to the plane, keeps moving weirdly.
Here is an image of the whole plane, before I go into the game:

Then, when I go into the game, it looks like this:

Which is OK, so far. But now, when I move the mouse to rotate the plane, the propeller detaches from the plane:

Is there a way to keep the propeller attached in the same position on the plane?
If it helps, here is the blend file.