Having ridden in Ye Olde Wagons before, this is actually what you should do.
Get out, unload whatever weight you can, and make the wagon as light as possible, then you try to get it out by unburying the wheels and putting something hard for them to roll on.
we had 2x10 boards (and a few small 2x4 chunks) in the wagon and shovels, as the route we were using was through cow pastures and corn fields.














The first time I heard that as a teenager, I made sure nobody ever felt comfortable saying it around me again.
Some mild stripping, knocked over glassware, and “speaking in tongues” later, sorry god made me do it.