Is a carport an outbuilding or a garage?

Bavaria and Saxony are both Free States, and garages are also ancillary buildings as well as regularly not intended for habitation and privileged at the boundary.

So there is the possibility that the carport may also be built outside the building area ([Überbaubare Flächen]).

No, unless your authorized construction planner can think of good reasons for an exemption from the regulations of the development plan (§31 Building Code).

... just as a carport is a garage

Garage and Parking Space Ordinance – GaStellV:
§ 1 Terms and general requirements
... 3 Parking spaces with protective roofs (carports) are considered open garages.

Thank you!
Then I can forget about positioning the carport closer to the street.