Thank you Herringbone and DrPoulet: both tips are very helpful!
You're right, sounds slightly underwhelming.
Thanks! Awesome, that's even in walking distance. :-)
Thanks for all the helpful replies!
@Herringbone: Do you have any special recommendations for Berlin?
Thanks for your comment.
For anybody in the same situation: Here's a helpful article and video, explaining "how to tell it's not a fake":