I want to download the presenter console extension, but I cannot find the extension download button on your site
Who tells you that there is an extension with this name (Cannot find any with that name on https://extensions.libreoffice.org/)? There is an option Tools -> Options -> LibreOffice Impress -> General -> [x] Enable Presenter Console
I’m not a specialist, but I think the presenter console is built-in in a normal setup of LO, see here.
The thing is that you only get to see it if you have at least two monitors - or you’re using a remote control; either a specific one for the projector, or Impress Remote on your phone. I’m using Impress Remote a lot; the presenter console is then on my phone an I use that to read my notes and navigating through the slides.
Impress Remote for Android can be found in the Google Store or on F-Droid, as well as for iOS