I don't understand how can a be classified as a Mary Sue if she was wrong about every single thing and every thing she did backfired or failed. And this was pretty much telegraphed by the average writing since episode 01.

It's either a non-text book case or conflating. She's basically that edgy, grumpy, aggressive side character. But instead of a side character, she's a main character. Instead of comic relief, she is serious. Instead of being confronted quickly, the flaws are ignored or presented as beneficial and barely opposed at all.

The archetype itself isn't new. If anything, women were overrepresented in that archetype as side characters for decades. Changing the character's role just doesn't magically solve the need for the archetype to interplay with others in a less brash way.