It’s a physical sticker that’s attached to the unit.
Take this post and thread as reference → Sync 3.4 Black Screen - #33 by F150Chief
Syn3updater has a tool that’s the interrogator log, but that will extract software information from the APIM, not the part number. And again, issue is with the screen, not the APIM alone.
Since the dates you mentioned, and if the car has not been serviced new parts, you should be ok. But if you do not want to risk it, you should avoid reformatting the unit.