I agree with Prof. tofu...
(except...) if it's just a Bach 18 knockoff (if not a "my gawd, this Bach 18 knockoff is magical !!!"), you could (??) try your hand at sanding it down...
- use cloth-backed "roll" sandpaper
- c. 250 grit offers quick progress, yet not too fast, and not too rough.
- keep changing pieces (to keep from using worn grit, so your sanding remains at the same rate.
- mark the outside of your rim (12 - 3 - 6 - 9...or more numbers), and keep track of which sides you've sanded, and do your very best to sand each portion of the rotation (including up-and-down) evenly.
- check with calipers for progress and for maintenance of roundness.
- finish off with 1000 grit or finer
- put a towel on the floor, so - if your mouthpiece spins off your makeshift fixture - it has a soft landing.
THIMK:
Rattling in the receiver indicates that the small end isn't being taken down as much as the large end...but TYPICALLY the OPPOSITE is what tends to happen with hillbilly shank sand-downs.
IF (??) you actually have a way to spin the mouthpiece between centers (actually ON CENTER and WITHOUT marking it up), you're likely to sand it more evenly, but (again) change out your strips to fresh sandpaper when they wear down.
(Wear googles and one of those not-effective-at-all-for-viruses-but-effective-for-brass-dust masks.) Also, wear long sleeves, because that crap can get into your skin...particularly the tender skin on the insides of your elbows...