Have you seen a psychiatrist? Not just a GP? Someone with some real knowledge about how to treat anxiety, as well as a knowledge of substance use disorder?
Anxiety is a difficult problem. Like all mental health issues, medication can be part of the solution, but usually not all of it. Alcohol will only make the problem worse in the long run.
Please go see a good psychiatrist if you haven't already. Substance use disorder is OFTEN co-morbid with other psychiatric conditions, especially GAD and depression, but also bipolar disorder, PTSD, ADHD, etc. A psychiatrist can help you sort through the symptoms to a proper diagnosis and assist with all aspects of your treatment.
You are far, far from alone with these issues.