With the adhesive cut, slowly lift the display up from the top (the side with the speaker-grille cutout), carefully flip it over vertically toward the bottom of the device, and rest it on its face, as shown.

Don't forget there's sticky adhesive everywhere, so consider resting an opening pick between the screen and display, to avoid spreading the gunk!

Do not attempt to completely remove the display yet, as it is still connected by a fragile ribbon cable. Be careful to not to strain the cable while positioning the display.