If a garage stands next to another garage and the 8cm closer only results in both buildings standing a bit closer together, it will hardly lead to a real problem.
As long as there is enough space on the other side for pushing, it’s not a problem.
As already calculated, you appropriate 0.72m² from the neighbor. At prices of around €200 per m², that’s not free. The easiest way is to reach a written neighborhood agreement. You pay a one-time fee for 1m² (or 0.72m²) and record this in writing and then just leave it at that.
Nice idea, unfortunately illegal. To buy even one square meter, this square meter must be partitioned and assigned to the other parcel by purchase contract/land register transfer. There is no other way, and otherwise it has no legal effect.
Since the whole effort is not worth it for 1m², one solves it differently.
It looks really bad if the neighbor has no garage/carport or similar yet and needs these 8cm, e.g. because it is a prefabricated garage or similar. In our area, buildings are constructed so that everyone leaves about 10cm to the neighbor rather than really going hard to 0.
That also has disadvantages. It is not possible in dense development; every centimeter is already needed/utilized.
Public institutions probably don’t care much about who has non-registrable objects where, as long as no one complains. Of course, that’s not great, because later it can/will cause problems with heirs or when selling (oneself/neighbor).
Public institutions often really don’t care because, contrary to popular belief, they usually have no interest in investigating behind every garden shed.
Garages are generally registration-required objects, at least I am not aware of any federal state where this is not the case. Regulations regarding carports vary by state, but for example in NRW carports are recorded when measured simultaneously with the main or other ancillary buildings including their boundary references and thus usually enter the cadastre – which makes sense, although in NRW they themselves are not subject to mandatory measurement.
Furthermore, building unregistered or unapproved outbuildings (so-called illegal structures) regularly leads to problems if a subsequent building application is later made, whether for one's own extension or the neighbor’s expansion including easement on the “illegally” built property.
At this point, the only advice is to plan/build your illegal structures so that they can at least be approved if necessary. Because if
someone does complain after all, you can legalize the illegal structure with reasonable effort (e.g. by a surcharge from the building authority on the permit fee).
Best regards
Dirk Grafe