What is this black washer-like thing underneath the nut, by the way?
It is a "circlip". - Operate on it under a hanky or something because they can fly pretty far when pushed out of their notch.
The "black thing" isn't a nut, there is no nut in this application.
Place a small blade screwdriver in the exposed gap between the black c-shaped clip, and give the driver a little twist. You'll see the clip starts to ease away from the rotational axis of the tumbler.
If you don't do that carefully with some covering, you can lose that clip quickly.
This "nut" cannot be tightened, but theoretically you can add some shim stock under it to tighten up the assembly.