The archive.org site is completely separate from Axure. Because Axure Cloud doesn’t host separate files like video, audio, etc., a separate hosting site/service needs to be used. Vimeo is one, YouTube another, archive.org yet another. Could also use Google Drive as you’ve shown. In Axure, the methods and code wouldn’t differ, just the URL. The difference is how the hosting site serves the video: Is a custom player included/required; or does it simply serve a stream (and/or background download) and let the browser supply a player? Lots of tradeoffs and things to consider: Will all your users have access to the video site/stream? Do you have rights to use the video? Security needed? Confidentiality? How much control of the video experience do you need? Multiple platforms/devices–and do they need to look and behave the same or different? Etc.
See the demo file in this recent thread for several methods to show videos in Axure, each with examples of videos found on the archive.org site.