I am sorry for bumping this but lately I have been trying to figure out how this backup method works, so my questions about this might come across as ignorant.
I do have some CAD experience so I get the washer part, but what is that black thing that is holding the washer in place? And do I need one for each washer (i.e. word)?

And according to the GIF showing the thing moving, it looks like you just rotate it to hide/reveal the washer? Or does it open/close?
I wrote a thread, there is a gif and a video of the whole process:
Securing Your Seed Phrase with WashersI hope that reading that you will find aclarificatiin of your doubt.
Anyway yes, the jig is meant to hold the washer you are stamping in position. You open the jig, insert the washer, stamp a letter, rotate the upper part, stamp the other letter and so on.
Then you open it, remove the stamped washers and insert a new one, then close it again.
So yes, it opens and closes, and you need only one jig.
In case, just ask.