Nah. For the third time, this same question you avoided. I cant believe that you are incapable of understanding this question so Im sure you are capable. There is no question about it.
Who built the hotel? Try not to ignore it and speak of the axiomatic infinite hotel that is in the future, after the hotel is built, which is a thought experiment.
I am sure you understand this question.
Clearly, you are not understanding the Hilbert Hotel here. It is *irrelevant* if it was built or who built it. It is an example of what happens with countable infinities. It is not in the future.
More relevant for an infinite regress is the model of negative natural numbers. Can you refute it?