NOTE: The video freezes up multiple times starting somewhere after the 12-minute mark. The audio is ok, I think, but the video gets squirrelly there for a while. You're not missing anything. It's just me flipping through the same two magazines for a second time. I figure most people just enjoy the sound more than the visual, but if the visual is your thing, I apologize for the freezy spots. :(
To listen while using other apps, switch the player to Picture-in-Picture (PiP) during playback — it keeps playing in a small floating window (the screen stays on).
To listen with the screen fully off, in-browser playback stops by YouTube's design. Open the video in the YouTube app to keep listening where background playback is supported (e.g. with YouTube Premium).
Open in YouTube app