Inclusion Criteria:
* Provision of signed and dated informed consent form
* Stated willingness to comply with all study procedures and availability for the duration of the study (up to 9 months: 3-month treatment plus 6-month follow up)
* Age 18 and older
* Have a BMI ≥30 (or BMI ≥27 with a medical comorbidity) and BMI ≤50 kg/m2
* Have had laparoscopic Roux-en-Y gastric bypass or sleeve gastrectomy within the past three years
* Meet current DSM-5 criteria for Alcohol Use Disorder
* Be an otherwise healthy subject without uncontrolled medical problems, as determined by the study physician and medical co-investigators
* Read, comprehend, and write English at a sufficient level to complete study-related materials
* For females of reproductive potential: use of highly effective contraception and agreement to use such a method during study participation
Exclusion Criteria:
* Any of the following: myocardial infarction, stroke, hospitalization for unstable angina, or transient ischemic attack within the past 60 days prior to screening
* History or presence of chronic or recurrent pancreatitis
* History of malignant neoplasms within the past 5 years prior to screening
* Personal or family history of medullary thyroid carcinoma or in patients with Multiple Endocrine Neoplasia syndrome type 2
* Is currently using other medications for weight loss or other GLP-1 receptor agonists
* Has a history of allergy or sensitivity to Semaglutide
* Has a co-existing psychiatric condition that requires hospitalization or more intensive treatment (such as bipolar mood disorders, psychotic illnesses, or severe depression)
* Has untreated hypertension with a seated systolic blood pressure \> 160 mmHg, diastolic blood pressure \> 100 mmHg, or heart rate \> 100 beats/minute
* Has current uncontrolled hypertension
* Has current uncontrolled Type I or Type II diabetes mellitus
* Has untreated hypothyroidism with a TSH \> 1.5 times the upper limit of normal for the test laboratory with repeat value that also exceeds this limit
* Has active gallbladder disease
* Has a history of severe renal, hepatic, neurological, chronic pulmonary disease, or any other unstable medical disorder
* Has a recent history of substance use disorder (with the exception of cannabis or tobacco use disorder) within the past 12 months
* Is currently engaging in other treatment for Alcohol Use Disorder or making intentional efforts to quit alcohol use
* Is currently participating in another clinical study in which the subject is or will be exposed to an investigational or a non-investigational drug or device
* Is breast-feeding, pregnant, or not using a reliable form of birth control
* Reports active suicidal or homicidal ideation
* Any disorder, unwillingness or inability, not covered by any of the other exclusion criteria which, in the investigator's opinion, might have jeopardized the participant's safety or compliance with the protocol
