So, I just went to my local specialist for ZK (Zentrale Klimaanlage - central air conditioning) systems.
He's aware of the problem too, and he told me that the crack, as I suspected, is located inside the cylinder head, between the water passage and the intake port, which allows water to enter the intake port.
Therefore, a repair is not possible, and pictures of the crack are also unavailable.
There are always only pictures of the completely clogged intake manifold, but never of the crack itself, which is hidden.
Consider this a final post and the conclusion of this topic.
Thank you to all the helpers!
