Works for me.
Sounds real and Biblical.
However, my . . . inferior-mindedness missed an answer to the question.
How do you see something like the Turky ruins with respect to the point or points in time that the Garden of Eden represents?
There is no way of telling how long Adam existed in Eden/Paradise before he was banished. But I would hazard a guess that it was a very, very long time (relative to earth) because the animals were brought to him to be named.
Therefore it appears to me that Adam was alive in Eden/Paradise while that structure was being built. Or to put it another way, by my perception, there were physical men who were not descendants of Adam, whose home was not Eden/Paradise.