Kenmore Ice dispenser faceplate removal

I can not remove the face plat on the ice dispenser.
I pull it out at the bottom and it seems to come out most of the way around but it does not seem to want to come all the way off.
Am I missing something?
The flap that opens to let the ice drop is not opening. I have pulled the faceplate off most of the way around and then pushed it back on … and the flapper will work for a little while, but then fails again. I did this several times but now that doesn’t work either.
Any ideas?