Like other commenters I found this step inadequately treated. The LCD didn't want to fold over like it ought to and It took me a while to decide how to proceed. I would suggest that one first identify the plastic hinge strips. Zoom in on the pics: there's a lot going on at that edge, it's all black, and you don't want to mess with any of the cable strips, etc. I used a hair dryer to loosen the hinges (I suspect one could heat up a small piece of metal bar and place it on the hinges to loosen) and gradually stretched it. I also think that using gloves instead of holding the LCD with bare fingers would help avoid smudging (I spent a bunch of time getting rid of finger marks.)
The battery is adhered to a metal “shield” which has the screw lugs, etc. around the edge. Acetone helped soften the adhesive, a palette knife helped separate shield and battery in the middle. Acetone also helped loosen the copper tape adhesive.