It boils down to whether the main goal is to have fun or read something factual. If "west of Berlin near Nennhausen" === "over Berlin", I don't know what to say.
There's an agglomeration area around Berlin(-Brandenburg) which is similar to a sibling commenter's "DC area" example (of course smaller). The Gigafactory is just outside this imaginary dotted line; Nennhausen is way over to the West.
I see, just checked it up on a map and you are right of course, thanks for the correction.