Quit the Wegovy and added a low dose of bupropion, and all of that reversed in a month.
I am overweight, not obese, have an A1C of 4.7, and run regularly. I've never had food noise. YMMV.
That said, I'm extremely prone to side effects, most people I know who have tried them started at maybe half the standard dose and had zero side effects at all. I'm the best possible guinea pig for these things, because if I can tolerate it, almost anyone who isn't frankly allergic or something can.
The other downside, obviously, is injections - you will need to learn how to use sterile technique to inject yourself or pay the incredibly high costs for the pens. The pills are also an option but I have no personal experience and their bioavailability is so low I don't know that I fully trust them.
They will completely change your relationship with food and alcohol, too. Your tastes will probably shift, nearly everybody I know who is on them has essentially given up booze (maybe a couple drinks a year, more or less)