I agree that the ark and deluge allegory have implications with the Intelligent Designer argument. However, this argument is flawed and is not a dependency, it’s information is not fact based, but rather a belief that a global flood occurred like the bible indicates.
We can look at what the science and research has around this, based on ice core data and sites in Turkey such as Göbekli Tepe (GT).
Ice core data suggest that there was a cataclysmic event that took place 11,000 - 12,800 years ago aligning with the Younger Dryas. However, it was very devastating, but not global. Most scholars agree, this was the event that the cultural flood myths originated from. Dating at GT far surpassed biblical chronology and there are too many other ancient sites around the globe that put sophisticated colonizing humans on this planet past 7K years by a long reach.
Ok, now that the “flood myth” is out of way, the Intelligent Designer argument can have a better foundation to proceed…