Doesn't sound to me like a gas strut but who knows??? It does sound like a coil spring squeak to me but that is just thru the video. I would still get a can of PB Blaster dry lube and spray the crap out of everything, it won't hurt a thing and might do some good. Mine has no squeaks like that, but when it does make a little noise everything gets a squirt and what ever it is goes away. I would pay extra attention to the pockets where the coil spring sets in, make sure that gets lubed a lot and see what happens. If you try lubing a small area then give it a squeak test, then another area, eventually you will find it, then you can squirt it good. Keep us posted....