From what I understand, Audio Play in Background only works for an audio that started playing when the game was running. Then it'll stop and not play any other audio as soon as it is finished.
In my opinion, this is a feature that should be enabled for dev and user consent, instead of blocked, since run in background tend to be important. I know it has to be used with caution, but this caution could maybe be controlled from the framework side.
Anyway, that said, I use a plugin called "Run in Background". It's kinda tricky, but it sure works on Android Platforms (Browser) and Desktops, but doesn't on iOS.
https://www.construct.net/en/make-games/addons/462/run-background
It even have an exemple file, it's worth checking out.
Maybe I didn't describe the problem clearly. I wanted to implement the standard work of a music player in my application, download .mp3 files from a list and play these files. When the application is running, everything works fine, but as soon as you lock the phone, the application stops working.
I wanted to find out how to implement it exactly in the Construct without using plugins from other developers, since then it’s hard to maintain the application.
Thanks for the link to the plugin, but its the last update in 2020.