Does being supervised by District Attorney mean drug court?

Ask your counsel if there is a local quirk but it most likely simply means your fee is paid to the DA office and not to a probation office. Also I presume a typo. I have never heard of a dui charge at 0.006 which is not adequate To support a dui charge.

First: a 0.006 legally means not drunk (of alcohol) at all and should be charged with anything alcohol related. If you meant to type 0.06, even that does not amount to a DUI, which requires a 0.08 or more. A 0.06 can be filed as a Driving While Impaired (DWI), unless you are charged with a combination of alcohol and drug. I said all of this to say this: you need an attorney to review your case. Second: DA supervision: does not mean "drug court." Drug Court is for felony drug charges. DUI Court is for felony DUI charges. And those are supervised by those courts and not the DA's office. DA supervision - and what it all entails - is up to each DA's office. For most that I have dealt with, it means that you pay them $40 per month, turn in proof of any completed classes and your community service. Some counties do require that you actually "report" monthly in some form or fashion (in person, by mail, by phone, etc). Almost all DA probations require that you not violate any law. And most (but not all) do require that the person not be at any bars, liquor stores, or areas where the primary purpose is the consumption of alcohol. They often also require that the person not consume or possess alcohol. But they never say that you cannot be in the presence of another person drinking.

My colleagues have fully responded to your question.