There is nothing wrong with your two practices, but the conditions given in the title conflict with each other.

If APB= 120 degrees, AQ≠4 is a regular triangle.

You can get rid of AQ=4 and multiply the equation with the condition to get AQ=2√(3√2-2).

In fact, because it gives the wrong conditions, you just need to use AQ to ask which one is right, because everything you do is right;

They are all wrong, because they are all wrong answers.