Loot until you find some Prozac and a Filter Mask. You’ll want some vitamins or vaccines as you find them as well as a means of making clean water. Clear a few houses and gather the water. A lighter is good too.
Once you have Prozac (10 should be enough), you can prevent the alcohol cravings from making it so you can’t craft. You can probably just forage enough wild vegetables to make broth and take you through. But you will need to be able to craft food (or you can just create enough food beforehand).
Filter Mask will prevent you from being infected by flu/cold; flu/cold cause you to be unable to sleep enough to get rid of tiredness, and the addiction doesn’t wear off during sleep. So you need to be able to stay awake.
It may be undesired behavior that a cold/flu will continue adding fatigue while you’re sleeping. I had multiple 8-hour sleeps result in not really getting me any fatigue reduction - stayed at Exhausted.
But that’s the basics - just get Prozac and a Filter Mask, which negate the two worst problems with alcohol addiction.