Fermentation is just what happens when you accidentally leave stuff in a container that limits oxygen. It’s easy to make alcohol my accident. Then there’s also the fact than we don’t know how well connected the world was before writing. We know farming developed independently from studies of soil in lakes and whatnot but recipes are much harder to pin down as something invented independently.
Not sure about the swords part but the Aztecs didn’t any.
West Bank and Gaza are separate governments. Israel made a contract with Jordan Valley farmers to get their water rights in exchange for a steady water supply that they never delivered. Then after a while because they couldn’t farm without water they told them “your land is unused so we’re going to use it for a settlement”.
There is water in the West Bank but it’s not reliable since Israelis need to water their crops first.