The top download for the older version does not work anymore - it only lets you download a text file with the content "This download has been deprecated. Please visit https://aka.ms/pbiSingleInstaller to download the latest release of Power BI Desktop."
Is MS working on resolving the problem about the latest installer not launching? :-s
Im afraid the only way around it now is to attempt to install an older version and then run the latest installer. If you are getting a .txt file as the downloaded file then use the built-in update feature to get you where you need to be.
Alternativly you can download just fine using the Windows Store download option.