I find the plot really confusing and too much of a plot holes... Spoilers down below.....
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Well Judith is a reincarnator
But she didn't reincarnate in a novel like she thought she should be..
She did reincarnate but died in the first time line and was reliving the 2nd timeline because of Luca's wish for everyone to be happy.
2nd life Judith had her 1st timeline memories but got confused onto thinking that the first time line is a fiction from a book and that 2nd timeline Judith thinks that she is only possessing the body of Judith..
What got me scratching my head was the fact that 2nd timeline Judith knows a lot of Luca's struggle and experiences despite not being there for him in the 1st timeline.. like she really knows the plot of a book.. like wtf