Have you seen doctor Elise? If you have it’s like the same in the way that Elise was originally from a different world, was bad and everybody died, then reincarnated into planet modern day Earth- dies again, and gets sent back to her original world where she tries to fix things up again. It’s the same in this story
So it's kind of odd but Ive just read the novel and it's both. She already loved this life but when she lived her second life in modern times she didn't remember it. She read the novel and connected to that character because that character is her last life. The second time she died she remembered her first life as cayrnna, although the memories are hazy. Well actually see scenes where she's triggered and remembers more of her first life
It might be a translation discrepancy but in the novel there are times where she's directly talking about memories of this life that she already lived and there are times where she directly speaks about how she knows certain things because of the novel
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For example, when she meets the guys who abused and kills her, she gets triggered and remembers a lot about that time that she didn't before, and she has PTSD from it. But, there are other times where she talks about certain things (like what will happen to the kingdom AFTER her death) because she read the novel

Is the mc a transmigator or a reincarnated?