.. Melsonict's cogs

Sounds like he is a nasty byrocratic. Unless you get a declaration from an authority he doesn't do jack.

I think there's some kind of an authority in Krampus' village. The first door near the skating rink.

Maybe if you ask them nicely, or not that nice, you can get the declaration.

Talk to Zizzy. Insist on getting the formal statement until he gives it to you.

Give it to Melsonict. He will give you the cogs and won't stop you pulling the lever.