The demo is given to those with a First Access Club code.

Originally, the code was given when you bought Boderlands GOTY (That's the way I obtained it).

Then, much later, when the game was available to pre-order, Gearbox threw in the First Access Codes as an extra.

That should explain the situation.

For drinkables, I would advise a pianocktail.
I wonder what music would produce a hot cup of tea.

MMMMMhhhhmmmmmm*smack* that steak DOES taste good