This handle does not mount to the outside of the door skin like 97 and up GPs.
Unfotunately my service info only includes engine and trans on this car.
Being that the handle is on the side of the window frame, and incudes a piece of outside trim, I am betting you need to start with putting the window down. Next, gently pull the rubber window channel away from the door frame. Just pull the end or side that has the handle. Once the rubber is out, it should simply push and pull into place, no adhesive, look inside the door where the rubber was, you should see some screws. Those are probably holding the handle and trim in place. Once the screws are out, it will probably be loose and make more sense.
Then you will probably have to remove the inside door panel to access the handle rods that open the door and disconnect those.
I saw a pic of the handle on ebay and it appears this way.