When a prompt appears saying "This application requires iOS 14.0 or later," tap to install the older, compatible version.
: If you have previously downloaded YouTube on your Apple ID (even on a different, newer device), you can install a compatible legacy version. and tap your account icon. and search for "YouTube." icon; when prompted, select for the last compatible version. Use a Shared Apple ID
No credible paper can be written on because the software does not appear to exist in any verifiable, legal, or stable form. If you have a specific source or build of this version, please provide it for further review. Otherwise, consider reframing your research into legitimate iOS sideloading or YouTube client modification.
Options and steps
If you have previously downloaded YouTube on any Apple device using your current Apple ID, you can sometimes download a compatible older version: on your iOS 12 device. Profile icon at the top right, then select Search for Cloud icon appears, tap it. You should see a prompt: "Do you want to download the last compatible version?"