You seem to be oversimplifying what actually happened. I'm not trying to change your mind or anything, but the circumstance is a bit different the second time.
Originally, her father was breathing down her neck and constantly checking on her. Based on what she said, he felt like the MC was holding Da-Som back from her potential, which is why he apparently was going to come and possibly serious hurt / kill the MC. (She even specifically mentions that her sister had been dating some guy, her father apparently made it so the guy could never walk again in some "freak accident".) And I'm also not saying how she handled it (with no explanation whatsoever) was OK. But it sounds like she believed there was a real threat to the MC.
Now, it's a bit different. She says that internet-influencer girl that Da-Som worked for temporarily gave her father some sense of control again, so he stopped focusing on and pestering her: the middle-of-the-night calls stopped. Getting a job at the same company as the MC was a way to "continue building her future" in her father's eyes. While her father may not like it, he seems to accept that she at least is "making something of her life". If what she's said is true, that basically means that her dad is still a threat, so things haven't really changed in that regard. But he is a "dormant" threat now, so as long as he doesn't get the idea again that she's wasting her life, Da-Som can apparently stay for good.
She says that once her sister, Eun-ji, manages to get to the MC's city as well, her father will never hear from either daughter again. So she plans never to leave again and to make herself and her sister disappear — from her father's life, in whatever way that needs to happen. So if she's not with the MC again, she and Eun-ji will probably drop all contact with anyone they knew so it's much harder / (impossible?) for her father ever to find them again. If with the MC, I assume she'll ask him to disappear with them this time, so the MC also stops being under threat from her father.
Again, I'm not trying to convince you to try to like her, to try to give her a chance, or anything of the kind. I'm just saying that "I can't tell for whatever reason" and "it's all good" don't really match up with what she's said or how she acts. She even says she knows / understands that the MC moved on. That doesn't sound like someone who thinks things are "all good" to me. That sounds to me like someone who not only knows they screwed up, but who is also pretty sure you won't forgive them.
It also doesn't sound to me like "she's now eager to endanger him all over again". She gives the choice entirely to the MC; she seems convinced her dad won't be a problem now (though I think that's fairly naïf of her and just wishful thinking); and it sounds to me like she plans to disappear so he'll never find her or her sister again — and by extension, never find the MC, either, if he goes with her. And ofc that — whether to forgive and/or try to start over again with her — is the player's choice.
I think understand your points, but I don't agree. I don't see how Kim can think her father won't be a problem just because her sister is no longer in Korea. If it were that simple the MC would never have been in danger in the first place, Eun-ji would have been. Kim made it *very* clear that her father would find a way to hurt
the MC if he continued to 'stall' Kim's life (as he evidently saw it), which had nothing to do with her sister. I'm skeptical her father really had that kind of power, but it's not impossible and that was her argument.
Yet now she's trying to smuggle her sister out from under her father's nose and doesn't seem worried about his draconian retaliation. The impression I got was not that her father was dormant, but rather that her new corporate job had mollified him, at least for the moment, because she was back on track to whatever lofty heights he expected of her. I find that explanation pretty flimsy, particularly since there was nothing stopping her from getting a new job last time, but that's what the game seems to be saying.
So let's say we buy her reasoning, and further buy that Kim can keep climbing the corporate ladder indefinitely (rather than burn out in a few months as she did with the internet girl in Korea). Won't her father be furious when Eun-ji starts bumming around the US just like Kim used to do? And won't he instantly blame the exact same guy he blamed last time Kim defied him? Sure seems like he would to me. So really, nothing has changed - save maybe endangering Kim's sister in addition to endangering the MC. It's not like her dad won't be able to track them down instantly even if Kim never talks to him again: he knows exactly where to start looking! So either Kim's dad was never the implacable threat she thought he was, she stopped caring about the consequences, or she somehow fails to realize the danger hasn't gone away. None of those make her very appealing to me.
Now you suggested she recognizes the danger and plans to disappear with the MC once her sister arrives. To me that would make her actions dramatically worse than before. Running away from your home and family is a hell of a thing to ask even when you aren't doing so to escape violent reprisals... and I can't help but notice she hasn't actually asked it yet! Which means that far from committing to being honest with the MC, in this scenario Kim is once again deceiving him until she can drops her last minute bombshell! That's reprehensible, regardless of whether it's motivated by stupidity or malice. It's not like the MC would be safe if he declines to run away with Kim; he'd effectively be left holding the bag when her father comes calling! This would be Kim making the same mistake all over again, just this time erring on the side of endangering the MC.
That's why I said Kim comes across as either indecisive or delusional. She acknowledges that she made a mistake, but she doesn't seem to realize that the reasons why she made that mistake don't go away just because she noticed it. She has no explanation for her about face other than missing the MC, which shouldn't have come as a surprise if her feelings were that strong. If her explanation is enough for you, that's fair. But it's not enough for me, not by a longshot. I can't trust her judgement until I see clear and consistent evidence that she's changed. Her inexplicable (to me) behavior now is just compounding the problem. And if she really does expect him to drop everything and run away with her in an instant, then Kim has learned nothing.
As far as Kim being "all good," that is not what I was trying to say. She's clearly far from all good. But again, that's not something she needs to be 'forgiven' for, it's just an indication that life is imperfect. Not much of a surprise, I'm afraid, but it has no bearing on whether to start over with her. That's a question of whether her goals and thought processes are a good fit for the MC. For my MC, that is a clear no. It may not be fair, but Kim's going to have to live with the disappointment.