They used to issue us with a scale of available equipment (tables, chairs, office desks, hand compassess, etc) - AP Whatever the hell it was - which included the stock numbers (most of which would likely be out of date now anyway).
I haven’t seen one in years, though as you say, it must exist somewhere.
Though, the easiest option is likely to be a phone call to the relevant person at barrack stores.
Explain what you need and they can look it up.
I’ve never been one to worry about the “difficulties” of having furniture on the inventory.
As a senior cadet I can recall clean up weekends and being told “We can’t get rid of that, or that, or that… They’re on the inventory”.
In actual fact, when I became staff and took over the inventory I discovered that there was very little on it at all.
Getting rid of stuff was easy too.
A quick call to stores to say “Hi. I’ve got about 60 crappy, rusty, horrible old chairs on my inventory, as well as a broken dustbin and a fire extinguisher which was condemned and removed 5 years ago… Can we write them off please?”
“Tap, tap, tap… They’re gone”
“Do you want them back? Because you’ll need to send a van/truck…”
“Feel free to dispose of them locally”