I take it you didn't want to fall into the rabbit hole that is watch servicing, cleaning and lubrication? That's a deep and expensive one, especially for automatics...

Might I suggest you reach out to Marshall @WristwatchRevival and ask if he wants to give it a proper service? I'm sure he'd be delighted by this project.

Edit: you say "I glued the movement to the dial". That sounds like the dial will never come off, making servicing night impossible, or am I misunderstanding this? Also: "in a normal watch the dial would get sandwiched between the glass and the case somehow" no, typically there are holes drilled through the mainplate with screws that grab or hold the dial feet. The movement complete with dial and hands normally floats in the case, held in place with a couple screws.