Unfortunately, there isn’t currently a way to remove suggested music (or podcasts) from the Home screen on Spotify. However, there is currently a Live Idea in the Idea Exchange for being able to customize the Home screen.
If this is something you’re interested in, I recommend adding your +VOTE to this idea (even though its current Status is “Not Right Now”). The more votes an idea gets, the likelier it is that Spotify will implement it, and you can read more about how feedback on ideas reaches Spotify here.
Let me know if you have any questions, and have a good day!
TreyAnastasioRock Star 7
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