I just made 20 last night, just to see if I could do it, as I am picking up my 222 tomorrow! I have made over 2000 20 Vartarg from LC 5.56, so I have lots of experience in sizing, annealing, turning necks.
In looking through many posts online, YouTube videos, and forums, the method I did last night seems to work. Deprime and clean the brass. DO NOT ANNEAL THE BRASS BEFORE YOU FULL LENGTH FORM IT.
I used just the full-length sizing die with the decapper and expander ball removed. Wipe a thin coat of Imperial sizing wax on, very little on neck & shoulder. I size in smaller increments of 3 or 4 smaller sizing passes. In between the increments, I removed the brass, made sure there was almost no lube on the shoulder or neck, and a little on the case sides. I and look at the shoulder, making sure it's not creasing or creating dents, and slightly turn it too. On the third time I was getting to the total of of the full-length die. Videos tell you to screw the die into the press gradually, that would work fine too. Take it SLOW, 3 or 4 short progressions, and you will have success. There's also a RCBS and Redding forming die you can use.
Part of your success will depend on what brand of brass you are trying to size. I tested with LC, PMC and also Norma. Both LC and PMC tests worked well as they are softer, but the Norma was tougher, it weights more and mine seem to be harder brass alloy. I tried another A USA I think, it wrinkled at the shoulder really badly! So test first, see which brass works.
After full length sizing, you need to trim the necks to correct 1.690 minimum or 1.700 length maximum. Chamfer & deburr the neck. Then anneal the neck and slightly into the shoulder, to a dull red. Then you run your 222 sizing die expander ball through the necks, to get the Inside Diameter correct. Then you need to outside turn the necks, to your desired thickness, for the whole neck. Mine I'm doing .012" thickness. When you neck the 223 case the lower parts of the new necks will be too thick, so you need to turn them. Once you get them turned, you're done forming. You might want to use a bushing die, like 246 - 247 to give correct neck tension.
Load to fire-form them, and you have equivalent of factory brass. I'd prefer Lapua factory brass, but it's not available right now. I've got some Lapua but not enough. So I'm going to use my Norma to make more.