This is an issikai. If you have seen/read "My Next Life as a Villainess: All Routes Lead to Doom!" you'll find a lot of the same traits here. The protagonist wakes up as the newly born unwanted princess and spends her younger years gaining the affection of her father, who for her first years is conflicted about protecting and loving her, and wanting to kill her. Princess' mum died essentially because of the princess, or so it's heavily implied. It was partially cutesy and partially annoying, the significant scenes were downplayed because of the protagonist basically being a grown-up, and having this "you're such an asshole" in those first years. The story continues when she's 14, having a debutante, and then sometime later, the amnesia trope strikes again, making her father forget all about the protagonist for the next eternity it feels like. Now, in its defense, it tries to do something properly out of it, not just an off-spin thing like most amnesia stories. On the downside it tries to make something properly out of it, not just an off-spin thing that lasts two seconds.

There's a lot of things I haven't mentioned, and I'm not sure how much further I'll read, it's becoming rather stressful to read. But suffice to say, if you've read "My Next Life as a Villainess: All Routes Lead to Doom!" you'll more or less be reading the same kind of story. If you loved that one, you're likely to love this one as well. But, if you're like me, and found the entire thing rather annoying, and tropey, despite its efforts to not follow tropes, then I suggest you leave it well alone. It's very charming and cute in the beginning, but I wouldn't say it's worth it.