Does Semaglutide Reduce Alcohol Intake in Patients With Alcohol Use Disorder and Comorbid Obesity?

Inclusion Criteria: * Informed oral and written consent * Diagnosed with alcohol dependence according to the criteria of the International Classification of Diseases 10 (ICD-10), and diagnosed with alcohol use disorder according to the Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition (DSM-5) * Alcohol use disorder identification test (AUDIT) score \>15 * Body mass index (BMI) above or equal to 30 kg/m2 * Age 18 - 70 years (both included) * Heavy alcohol drinking defined as more than 6 days with alcohol consumption over 4 units (48 g alcohol) for women and 5 units (60 g alcohol) for men during a consecutive 30-day period, within 40 days prior to baseline evaluation, measured by the TLFB method. The 30-day period will be the 30 consecutive days with the biggest alcohol intake (most heavy drinking days and the largest amount of total alcohol) out of the 40 days. Exclusion Criteria: * Severe psychiatric disease, defined as a diagnosis of schizophrenia, paranoid psychosis, bipolar disorder or mental retardation * A history of delirium tremens or alcohol withdrawal seizures * No serious withdrawal symptoms at inclusion (a score higher than 9 on the Clinical Institute Withdrawal Assessment of Alcohol Scale, Revised (CIWA-Ar)) at baseline examinations * Present or former neurological disease, including traumatic brain injury * Type 1 diabetes, type 2 diabetes in poor glycaemic control (defined as HbA1c ≥48 mmol/l or fasting plasma glucose above 7.0 mmol/l at in…