When YouTube demands you log in to "verify your age" which allows them and their parent the privacy-invasion driven advertisement company Google ("Alphabet") track you,
you don't have to.
You can just download the video to your own device using a tool like yt-dlp and view the video using your own favorite video-player.
There are others too, but yt-dlp is open source, does not cost you anything, handles almost every video platform on the Internet, works on most devices with files ready to download at the official location https://github.com/yt-dlp/yt-dlp for Linux, Windows and MacOS, while for Android there is also YTDLnis based on yt-dlp available using F-Droid https://f-droid.org at https://android.izzysoft.de/repo/apk/com.deniscerri.ytdl after adding the IzzyOnDroid https://android.izzysoft.de/intro.php repo.
