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Isn’t the whole point of “Discover Weekly” to discover new music? If you’re self-hosted, the only music you’d be accessing is stuff you’ve already liked enough to pay for, so you’re not discovering anything.
It appears to look at your listening history and then download new music from YouTube. So it’ll be new music you probably don’t have.
Given previous more or less similar projects this is likely to get sued out of existence by Google.