At 9:25, when I try to move my inset on z axis, my pill buttons go through object:
This is look from top and below:
It looks like you've extruded down instead of up. . . and that you may have multiple faces where your pill buttons are. (Like you accidentally hit e twice.
It might be simplest to delete the faces for the button, recreate the faces, then try to extrude them again.