If you read the label you'll see there is a small amount of alcohol in odouls.
Drinking N/A beer to stop cravings is a placebo affect. It will do nothing in the long term except fool you into thinking a few "real beers" is OK.
Pay close attention to your diet. I've found that what I eat and drink in the evening will have some affect on how my anxiety level the next morning. Eat healthy for awhile and the cravings will level out.
I never noticed this before because for years I always had beer for breakfast.
Congrats on one sober week! Hope it is the first of many more.