Use a guitar pick at the edge near the trigger buttons. Should pop pretty easy if you wiggle it (and get all the screws).
I think a bigger thing to take care of is the ribbon cable that runs over the plate above the battery connector and drive, as well as the other small cable which has a tether to the same plate. Original SD didn’t have those.
I wonder if this is due to a different model of touch-sensor or just that the extra screen-size and other related redesign lends towards more accurate touchscreen performance.