ST has a warehouse full of that stuff. Pictures, actual props, inventory lists and who to rent from, and original purchase orders. It is pretty detailed what they have access to for star trek especially after TNG. There are a few youtube vids where they show a very small sampling of what they have. Now some of the ToS stuff is more reliant on fan info. As a lot was cleared out in the 70s/80s for space for other things. A show like lower decks is all nostalgia type items so they are probably going thru that stuff very heavily.

I wondered if that was a part of it, but this particular Lower Decks entry makes me wonder. It seems like an amazing level of consistency between very different forms of production.

On the other hand, I suppose there could be a "Chairs of Star Trek" design handbook within the organization. This would be under the "Weird Shit" section.