Its my prediction from chap 23 bu, spoiler just in case
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Lilia isnt a lucky girl or the ogFL or even has prophetic dreams, she is a reincarnator/possessor. Thats why she asks if analie actes different now or speaks weird. She thinks maybe analie is also posessed lie her. Lilias actions up till now have been her taking advantage of what she know from this world (novel i guess) to become the FL. Thats why she pretends to have prophetic dreams before and they ended because the story was supposed to end with analies death. She clearly doesnt care at all for the fl based on the memories but how she talked to tje knight proves it for me. Cool story.
Its just my guess but spoiler just in case
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Seeing in chapter 23 that the demon king appears to be female and the fl's dad/guardian had an older brother who has died/gone missing. I think Bunny is the daughter of the demon king and the older brother. I feel like she will be biologically related to this family.