Can a Necromancer Reuse the corpses left behind from slain Undead?

I’ve recently been doing some builds for Necromancers for a one-shot we’ll be doing and have been struggling to find anything that mentions how to keep up with all of the corpses you will need for the Animate Dead Spell and Create Undead Spell.

There seems to be an indefinite period a Corpse can stay a Corpse within the 5E RAW.

I also haven’t found anything stating that undead becoming dead again cannot be animated again, within RAW.

This implies that once my zombie or skeleton dies, and becomes a Corpse again may I reuse the now Corpse according to RAW?