This is the latest version according to ledger live on the website but it shows Ledger Live latest version is 2.126 as the newest version according to google ai overview? I'm confused here.
To begin with, don't 100% trust any AI, especially not the G00gle AI overview.
It is best to do your own research by going to ledger.com and checking the current version in the download section.
I did it for you, assuming you're interested in the Windows version. So, it is:
ledger-live-desktop-2.131.1-win-x64
Automatic updates through the application do not necessarily lead you to the latest version. The application may suggest the next one, because it still hasn't recognized that a new update came out after that.
Also, I suggest that you do not rush to install the update immediately after release, because it happens that a new update brings a new bug, which is recognized only after the release and the first use.