I really enjoy perusing the second floor of Boulineau's in Cherry Grove Beach, SC. I even found a Boulineau's hat on this trip. (It turned out to be an employee's hat that was put out on the floor accidentally, but they still let me buy it!)
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