If you want to watch the live-action (which I HIGHLY recommend. The main couple's actors are fantastic!), check it out at the translator's website (LINK: https://irozuku.org/fansub/tag/cherry-magic/). It's just one person who translated it all for us, so we should support them by going to their page directly.
The fact the Crown Prince is alive shows growth from the Emperor. His child would have probably been killed by now if he had the same attitude as his past life.
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Anyone have raw?