We do not have an exact site plan yet. But attached is the plot and where the house and the garage are supposed to be placed
How rectangles look, nobody here probably needs a lesson in that. A sensible site plan definitely also shows the surroundings, so not just a narrow image section around the fence. Usually, you can find the cadastral extract in the respective state geoportal on the internet.
Does a garage really have to be right at the front by the street?
I think, no. The municipality is probably free to provide an actual building line even in a §34 area, which would also fall within their regulatory authority for a development plan. However, for garages and carports, the state building code often requires that a distance be maintained to avoid traffic jams, because of the sight lines of other road users, etc. The traffic jam caused by opening the garage door could also be avoided alone with an electric door drive – but for safety reasons, this would also mean, with an extension to the property boundary, having to choose a sectional or tilt door, since a swing door would be practically excluded. You wouldn’t believe all the things small village administrations fail to think about.