Disconnect the screen cable.

Patience and care win the day!

With your thumbnail or a very thin plastic tool, pry up the tape holding the cable to the display.

You will also find that the gray part of the cable is adhered to the sceen. Gently separate that part of the cable from the screen, being careful not to bend the pins of the connector.

Push the connector down until it separates from the display. You will find more tape at the bottom, which will also need to be peeled away.