In order to legally purchase alcohol in Dubai, tourists can present their original Passport that is stamped with a Visa at any of the Maritime Mercantile International liquor stores in Dubai (part of the Emirates Group), along with the form they provide and can receive on the spot a free license to purchase liquor on-site for up to 30 days at any of the MMI stores.

Information at the below website.... scroll all the way down to the specific Tourists Application information once you open the website:

https://mmiliquorlicence.com/