(I'm sure it will shock none of you who aren't already familiar with him that he conned himself onto Rogan.)
Not to rain on Jimmy's parade, because I'm sure he's "done his research," but the Bible says that the Ark landed on the Mountains of Ararat, which is not the same thing as Mount Ararat. The connection with the mountain in Turkey didn't start until the middle ages.
That podcast episode (which is great) said the rise was about a 2.5cm per year (or 0.3m/day horizontally). Not that rapid.
Minutes 23-30 https://podcasts.apple.com/us/podcast/8-the-sumerians-fall-of-the-first-cities/id1449884495?i=1000454904678