“How long is the treatment for alcohol addiction?”

Seeking help for addiction has no time frame. Addiction cannot be “rid of”; a person who is in recovery from their addiction is learning how to navigate through life while managing the urges each and every day. Changing the perspective of living with addiction and navigating people, places, and things will help promote this recovery. This is a lifelong process.
The length of treatment depends on many factors including, type of addiction, years engaging in behavior, where you receive treatment, and most importantly your motivation for a life worth living.
Thanks so much for your inquiry and the best of luck to you on your journey. Kudos for taking one of the initial steps by seeking support!

It is continuous and ongoing. Should not stop.

Generally people consider alcohol as a "one day at a time" abstinence. There are medications like Naltraxone that helps diminish the cravings.

What is commendable is your recognition and insight of problematic alcohol use and seeking advise about it! It depends on a lot of things. Primarily is the extent of use, the level of motivation one has towards seeking change. Management of alcohol use disorder can take place anywhere from an outpatient clinic to a rehabilitation facility, depending on the above mentioned and many other factors. The most important thing to know is that there is help at hand and multiple options available.

P.S., If you are experiencing withdrawal symptoms, please go to the nearest ER now. Withdrawal is dangerous and life threatening if not managed appropriately.