gsd:
Just checked my reloading/unloading/cartridge dismembering inventory.
Happens that I've got a Forster bullet puller with a collet that's marked .224. Which appears to be the right, proper, and correct collet for your stuff.
Basically, the Forster device threads into the reloading press. Then you move the cartridge up into it, nose first. Turn the bitty little handle thingie to tighten the collet onto the bullet, and push the reloading press handle to pull the cartridge case down and the bullet out.
If you want to mess with it, you're welcome to do so. Suggest doing a Google on it first to check it out. Probably tedious to use. Possibly will mark the bullet w/an annular ring. But then, it could be just jam-dandy. I've never used it so cannot offer an opinion nor guidance.
Lemme know.
(Or just find someone w/a Class III fully automatic .223 and let 'er rip. Done it. Now THAT's a HOOT!)
[BTW--FFL-ers can't mfg ammo, either. Gotta have a federal ammo mfgr's license. Land of the free......]