Something I've noticed while watching you and others getting articulated tractors unstuck, the sideways pull is usually what works the best. Allows the tires to climb out instead of just continuing the rut. The plow plowing while getting pulled out was great. Glad you were able to get them both to drier ground
Been there done that. Way more times than i care to remember. Sunk one so bad had to get a D9 to come dig/pull it out, the rebuild the tore up field. Best one was getting one of the grain trucks stuck during wheat in some soft barely wet sand. Tied combine to it to get it out, stuck the combine. Hooked other grain truck to combine to get it out, stuck that truck. Could of played those chains like a violin if we'd had a bough. Luckily we were only a half mile from the house and rest of the equipment. And more chains ;-).
I use a 4" nylon barge tow line 1500 ton breaking point braided loops. Both ends had to double it once for 20 ton to snap out 40 tons tops of truck tires not showing ...