By the numbers,

1. you can bang on the front of the case/bullet all day long, but until the bolt is unlocked and locked back, your wasting your time.

So left hand on forearm, right hand on charging handle, pull down on the charging handle while you mortar the butt stock off a bench to get the bolt unlocked from the case (even if you have to rip the rim of the case via the extractor.  If a carbine stock, then make sure to lock it in the all the way forward position.

Now with bolt locked back, butt stock on ground, muzzle up, glide a single one piece stainless steel cleaning rod down the barrel until you either get the end of the rod (no jig or anything else on the rods) against the web of the case.

Now don't screw around with light taps, but you want to drive the single piece cleaning rod down hard via it handle one time, to drive the spent stuck case out of the barrel. Good size block of wood work, or even a rubber mallet so you don't destroy the cleaning rod handle, but a hard enough strike that it will knock the spent case out of the chamber.


https://www.amazon.com/Hoppes-Stainless-Universal-Cleaning-Calibers/dp/B000MX5ZCI

If you don't want to wait for a cleaning rod to show up, then home depot for a 1/4" cold roll steel rod that will come 4 feet, and while you want to shorten it so one the rod is touching the web of the case,  and only have about 6" protruding past the end of the FS that you can just use a small 3lb sledge hammer to strike the end of the rod the needed one hard blow isntead.  Hence rods is supported in the barrel so it not going to bend to shite, and what is sticking out the barrel, just needs to be short enough that it will not deflect from the blow, but long enough that as the case comes out of the chamber, will not crash into the FS with the mallet.

https://www.homedepot.com/p/Everbilt-1-8-in-x-48-in-Plain-Steel-Cold-Rolled-Round-Rod-801567/204273942

No reason to club on the single piece rod like it a harbor seal that you are trying to euthanize, nor do anything else special.

Just need a single piece SS rod that is slightly smaller than the bore, seated against the webbing of the case, sticking out the muzzle a few inches, with the bolt locked back on the bolt catch,  and one clean hard smack with any mallet of 3lbs of weight or better, will drive the stuck case out of the chamber.

Hell, I do it all the time with just a single piece clearing rod, butt stock on the ground,  and my palm on the  clearing rod handle.

As for grease down the barrel, going to be a mess to get that cleaned out as it packed up the gas port, FSB and into the gas tube.

If you remove the barrel and now have no easy way to hold the barrel, then just put tape on the rod so it stays against the web of the case, the turn the barrel muzzle down so end of rod is down, and use the hard ground for the end of rod strike force for the first inch, so you don't end up crashing the muzzle to the ground, or the other way around, with mallet into the muzzle as the stuck case clears.