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You can already do that. But you have to use the "embed code", not the link. Here an example:

(Unsupported https://open.spotify.com/embed/episode/3D9EYXgckMl8iczGKouyyB?utm_source=generator)

Yeah, I meant more like converting the link to embed automatically. You know for not tech savvy people.

And apple music!

Good question.

I had never thought about it.