Lightspeed - S5-E8
Deliberate mistake: In the museum, Kyd Wykkyd creates a teleport hole whose diameter is smaller than the length of the cobra staff he intends to snatch. In fact, when he takes it out of the showcase, the lower part of the staff passes right through the glass.
Deliberate mistake: Kitten and Fang's limousine is rather quite broad, as we can see when Red X pops in. But since he is using both hands to cut the car in two, he'd have to extend the natural length of his arms in order to use both X-sawblades at the same time.
Chosen answer: It is located in California, as shown in "Teen Titans: Trouble in Tokyo". Possibly San Francisco as seen in the comics.
MasterOfAll