Much has been written about this subject - far more than I can include here. But suffice it to say that your incredulity alone is not evidence that the Ark could not have been built.
If there is so much that has been written on the subject, why do we know nothing about it? And if there is something in that voluminous literature that refutes the OP, why don't you reproduce it here for us? You don't have to include everything...
We have very little information about the Ark so it is difficult to judge Noah's construction. Much has been written about the ship.
Please explain. Are you saying that a lot has been written that is unknown? Or is a lot that is written just wrong, and how do you know?
Judging by the contradictory nature of your statements, I'm not sure that you are the one to be lecturing us on logical fallacies.