antidepressants that don't cause increased appetite?

some background; i'm 19 years old and im trying to recover from severe bulimia while also dealing with moderate-ish depression. ive been on prozac since i was 18, but it hasnt worked out for me very well, so i'm looking to switch meds. my doctor recommended either olanzapine or zoloft. im weary of both, because both have been seen to increase appetite and cravings. being bulimic, i obviously already have an enormous appetite, and i dont wanna worsen my binge tendencies just to fight off some of the depression🥲 (note that prozac hasn't effected my appetite very much at all, in either direction). ive heard anecdotes that wellbutrin helps with depression while lessening cravings and binge-tendencies, which is ideal for me. however, regardless of being extremely, extremely bulimic, im diagnosed with ana-r. i feel like, because of my ana-r diagnosis, it'll be difficult to convince my team to put me on wellbutrin. anybody have any recommendations for possible meds that i could bring up? things that i should say to my team, etc. i feel very lost right now.