There are no specific regulations on drink choice and players should have the option to bring their own drinks.
There may be sponsorship considerations and I don't know how beverage companies handle broadcasts that have recognizable labels, so that might have an impact.
I know Carlsen used to drink orange juice during games.
I've seen many photos of chess tournaments and I have yet to see a bottle of Pepsi, or Fanta or other drink on the table. It always seems to be spring bottled water. Is that the only drink allowed by regulations? That would drive me nuts. I hate water!