This is why I carry at least 4 2X10 boards for the trailer. The primary use is levelling however they have come in handy for getting out of a sticky situation that those plastic lego thingys would be useless for.
A 12 ton bottle jack & plenty of blocks of wood for use with that comes in handy too.
I'd try to get it out on my own. I like a challenge like that. Lift the trailer. Get some boards under its wheels to get it out of the holes they have created. Wait for the ground to dry as much as possible. Possibly use both vehicles in tandem to pull it out.
Did something similar to that once with a 32' 12,000# inboard boat. Getting the boat out of the water the trailer went off the end of the ramp onto soft bottom. It took boat in gear almost wide open, TV pulling with all its might & a Bob Cat pulling the TV to get up & onto the ramp. I imagine we were quite a sight to see.