The easiest way to download videos from Instagram has been found. Simply add 'dd' before 'instagram.com' in the URL, and you're done.
For example, instead of
https://www.instagram.com/reel/CwlK8uaPtqa/?igshid=MzRlODBiNWFlZA==
navigate to
https://www.ddinstagram.com/reel/CwlK8uaPtqa/?igshid=MzRlODBiNWFlZA==