Barracuda Interior Panel Question

Can anyone give me an idea on how to fix this drivers side rear interior panel in my 67 fastback Barracuda? I’m thinking remove it from the car and try to adhere the vinyl back to the cardboard backing with some 3M spray glue. Any other ideas?

I'm also not even clear on how these come out and get reinstalled. Right now, it seems like if I take out the window crank the panel will just fall off. Thanks in advance.

F4A57216-CEC6-4DFB-8AE5-6D5EE63F309A.jpeg

10D1914C-25B8-4FD3-AA27-159818962F85.jpeg