you cannot just drink Nuka-Cola or any of its varieties like qunatum, dark, grape etc. You have to make sure to drink "Nuka-mixes". You can craft these via the new Nuka-mixer stations which are availiable in the crafting section in your settlements.
If you don't want to build stations on your own you can find some of them in Nuka-World as well. Refer to the comments section to get details about their location in Nuka-World.
There are 4 different stations, but all of them create the same mixes so it doesn't matter which one you build.
Also, it doesn't matter which mix you drink. All of them are valid for this achievement. From the get-go you can choose between the following 6 mixes:
Newka-Cola (Nuka-Cherry + Nuka-Cola)
Nuka-Buzz ( 2 Nuka-Cola Wild)
Nuka-Fancy ( Nuka-Cherry + Nuka-Cola Wild)
Nuka-Free ( Dirty Water + Nuka-Cola)
Nuka-Love ( Nuka-Cherry + Nuka-Cola Quartz)
Nuka-Twin (Nuka-Cola + Nuka-Cola Wild)