What do you do when your tractor is stuck in the mud and any vehicles that you use to pull it out is likely to get stuck, too? Put the tow vehicle on relatively dry ground and use an extra-long tow strap! We used a hundred-foot coil of old fire hose (1.5″). This stuff is lightweight, immensely strong, and not too inconvenient to use.
Actually, when I say “we,” I mean “my neighbor,” who appeared with two sons and a pickup truck to rescue my tractor. They loaded the pickup with some of my firewood for extra traction, and plucked out my tractor from the mud. It was nicely done! That tractor was dug in so deep that the wheels were grating on pagodas in China.