I still don't understand exactly what is happening.
I think you have already grasped the cause of the confusion in #3. Unfortunately, the original poster does not answer your questions. Also, the facts are not entirely consistent. My assumption: The original poster wants to purchase a partial area of a property. Since the property is developed, a subdivision permit from the building permit authority is required. This will only be granted if a construction servitude is registered on the other part. Since there are no requirements for the escape route – accessibility by aerial ladder vehicle or large fire engine – no right of way is legally necessary under building regulations. The public-law security through the construction servitude therefore is limited to the necessary pedestrian and utility rights. The original poster has nothing to do with the registration because he is not yet the owner. The burdens and benefits from the public-law construction servitude have no influence on the private-law agreements secured in the land register.
How can it be that the building authority changes your notarized registered right?
The original poster did not write that, and if he understood it that way, then he certainly misunderstood it.
Then the building authority can go round in circles or do whatever.
The building authority demands exactly the construction servitudes necessary to remedy the building law violations. They do not care about private-law agreements. Registration of construction servitudes and registration in the land register have nothing to do with each other unless the owner of the burdened property refuses the registration of a construction servitude, although a corresponding entry exists in the land register. Then the registration of the servitude can be enforced by legal action.
However, no strange message has yet come from the building authority in our case.
Then the owner of the rear property probably has not yet submitted a building application.