Hard to follow what you are saying, but in general, getting stuck in mud to the frame is never a good thing..
It's not so much the stuck part, it's how you have to extract the vehicle that can cause damage..
Sounds like you have a big, heavy rig stuck to the frame in mud..
Not gonna be cheap or easy to extract...
Good luck!
Mitch
2013 F150 XLT 4x4 SuperCab Max Tow Egoboost 3.73 gears #7700 GVWR #1920 payload. 2019 Rockwood Mini Lite 2511S.