Looking it over at this link for the "parts catalog" and I now have some thoughts:
https://catalog3d.winnebagoind.com/menu/Parts.htm
Drilling down to this for your specific RV:
https://catalog3d.winnebagoind.com/2011/17593003.htm
First let me make sure we are speaking of the correct TV, as in the first picture?
If looking at the one I've marked, we can zoom in and get a better look at the mount and two thoughts might work.
The second picture shows what they term "TV mount".
Going closer we can see what looks like might be a metal bracket that "might" need to be pushed up from below at the center of the TV bottom???
Or there is also a long strip of metal which they call a "clip" which might have screws to access below the TV and let it come off the wall????
My thoughts are that it may need to be released from the bracket pushing up on the metal "tab" or it may need screws taken out to take to tilt the bracket off the wall.
Good luck, hope that helps a bit!
__________________
Richard
Why no RV year, make and floorplan on MY signature as we suggest for others?
I currently DO NOT have one!