That be some thick goo!
I've stuck Tdub like that a couple times. I usually just shut it off and take a break to allow the engine to cool a few minutes, then crank her up, give her 15 seconds to build oil pressure, 2nd gear, wide open and dumped the clutch to get the rear tire spinning enough to sling the mud out of the knobs, then jumped on the pegs, yanked hard, and held weight back as far as possible on the seat, and she came right out. Every time. No pushing involved.
I've stuck Tdub like that a couple times. I usually just shut it off and take a break to allow the engine to cool a few minutes, then crank her up, give her 15 seconds to build oil pressure, 2nd gear, wide open and dumped the clutch to get the rear tire spinning enough to sling the mud out of the knobs, then jumped on the pegs, yanked hard, and held weight back as far as possible on the seat, and she came right out. Every time. No pushing involved.
After sinking several of my bikes in Southern Maryland clay I learned a trick. Find a log or strong tree branch.Lift the front wheel up and place the branch under the skid plate. Then using it as a fulcrum lever the rear wheel out of the mud and slide the bike to a better place to get going again. This trick helped me finish several Hare Scrambles that left other riders stuck in the woods.