I want to drink the freshly made coffee.
Do you like coffee a lot?
I don't want the coffee, exactly, I just like the break I have when I'm drinking it.
Even if you don't really enjoy coffee that much, it's fine to take a coffee break once in a while to enjoy the break. Everyone takes breaks now and then, you don't have to justify your break by drinking coffee if you don't want to.
You're right, but coffee is a more socially acceptable reason to take a break at work.
That is true that taking a break to get coffee is usually viewed better at work than simply taking a break. You don't need to feel obligated to drink coffee though. I'm sure coworkers won't judge you for taking a break even if you're not getting a cup  of coffee.