(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.
The Fall of Civilizations podcast indicated that there was a period of rapid rise in sea levels around Mesopotamia, but if you have reason to disagree with the host I’ll defer. I don’t know their background beyond being a good storyteller.
In geology, rapid is still a very long time, even up to a few million years.
As you can see here, the rise sounds dramatic, but year-over-year, it would not be very noticeable-
https://en.wikipedia.org/wiki/Early_Holocene_sea_level_rise
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