The crown prince took a huge bullet

Hm... I don't think so, at least not because of her in that sense. Because in the Og no matter how trashy she (and her sister too) is she'd still have the support of all of Cp's friends that were in love with her. Even if the coup happened because of nobles dissatisfaction with her they'd all be there in the palace with her and Cp and would've fend it off.
If the country would meet it's doom in the Og it would probably be for the same reason as in this "version". Which I won't say because it's spoiler...

As far as the original story, it's likely the country would not be immediately doomed. For one, in the original story Nasha has the backing of several important figures (knight commander, minister, and crown prince/king) who are more than willing to cover for her mistakes. That's why in the current timeline, she is on her own trying to win over nobles, because in the original she would get guidance from those around her and any mistake she made would be covered up by them. In this case, since those people are busy with other things and don't like Nasha as much, she's been left on her own to sink. Second thing is that in the original they actually do good because they learn from taking down Andrim and Malaki, as well as gaining support on their own because of it. Third, I don't think that just Nasha or the crown prince could fuck themselves over, but the possibility of a coup or even a civil war is possible because of outside factors not entirely on them because they didn't know. But yeah Nasha being entirely useless, spoilt, and lacking common sense is something that is highlighted in the current timeline because in the original timeline it's seen as her just being cute and lovable (since of course half of them are in love with her and the others just tolerate her because she's just a poor little victim who should be cuddled even as the future queen). Her best timelines are when she picks anyone but the crown prince honestly lol, but it's funnier when she fails in this timeline.

i think it’s mentioned in one of the first few chapters but in the og story nasha is able to maintain a stable position due to her being allies with the dragon. since the entire kingdom relies on the dragon and she’s the only one who’s friends with the dragon if the mess with her they’re basically messing with the dragon. in the novel i think they mention something like whoever controls the dragon is more powerful than the king.

Reading all of this, yea fair enough but also doesn't change my mind about Nasha cuz then this makes her truly incompetent by herself. She fails without her friends and a backing of a dragon, and she doesn't know how to carry herself. She's so tragic as a character.

I see player Nasha and current Nasha as seperate entities since the player can control her in the game and make better decisions for her. Who knows if her otome princess version of her is all that similar when she was basically not entirely herself or ig another similar version capable of making better choices.

Nah, I agree with you. Tbh she really fits the stereotype of a "dating sim heroine" targeted to young teens. If you think about the mangas based on dating sims... she fits... even more so in the cases where the game doesn't force the player to do side quests like studying (etiquette and to be a saintess and all) and the player is focused only in the romance. If that kind of player became a character, not transmigrating, but a character based on them, Nasha is really fitting.
I guess seeing how this "dating sim heroine" stereotype is actually bad is why the "reincarnated in the villainess" trope became popular. And it also applies to heroines of rofan too.
Personally I started getting bored of the villainess trope because apart of being smarter... they all start to act like heroine stereotypes. This mc being a villain is one of the reasons I liked this so much... despite the... controversial bits...

I get your point... but if it's a player and not transmigrator I think she'd also act like current Nasha. You don't take your decisions too seriously when it's just a game and you're focused in the romance.

I shouldn't have said player Nasha, more like "happy ending Nasha" ig- let me elaborate bc no you don't get it, my mistake.

If you look at all the endings and see them as different alternative realities caused by different decisions you can argue about how her vibes all day, but I'm saying in this reality she may not able to get a happy ending at all bc her vibes are so crusty, even without Andrim getting all up in her business, PERHAPS.
Like in her happy ending her attitude is a much better one bc she is actually putting in the work. Even if she's still a bitch (bc who knows if she bothered to rescue her younger siblings in that happy ending and what not) she got game. It may be as you say but we don't have enough information about the game to say for certain.