Before trying to disassemble the display you need to heat it up to loosen the adhesive that holds it in place.

Hint: There is much less glue at the sides of the display compared to the top and bottom. So start on the sides to get under the display.

Use a flat tool like a razor blade to get under the display. Slowly loosen up the sides by cutting through the heated up adhesive.

Especially after getting under the display initially with the razor blade a slightly thicker tool like a plastic card might be worth a try. When loosening up the top and bottom of the display you will need patience and a plastic card won't damage the plastic frame as much.