Last update of the Google Play Music Chrome App¹ gives us now the ability to set the window always on top thanks to the app.window.alwaysOnTop permission².

Give it a try, open the App, click on the 3 vertical dots and check "Always on top".

¹ https://chrome.google.com/webstore/detail/google-play-music/fahmaaghhglfmonjliepjlchgpgfmobi ² https://developer.chrome.com/apps/app_window#property-CreateWindowOptions-alwaysOnTop
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