That was the first thing they told me during outprocessing from active duty in 1992. I immediately went to the courthouse, recorded my DD214 and then got six notarized copies. I put the originals in a safe deposit box.
Recording your DD 214 at the court house isn’t smart. Anyone can go in and research records and collect your personal information. DD 214 has your social security number on it.
They didn’t tell me to record it at the courthouse but I still have the original. Guess I should take the time to do it.
The only thing I remember when I mustered out was the Yeoman saying “You want out, right?”