She didn’t make it up. She grew up being told her family has Cherokee in their background, and like all children would, she believed it. She didn’t just fabricate it for woke points while running for office—she contributed to an American Indian cookbook in the 80s, so this has been part of her life all her life.
If anything, her sin was to lean into that early in her career for apparent advantage, which is disputed but still smells funny; and for the wrong-headed and ham-fisted decision to utilize DNA testing to try to prove her bona fides, and the Nation told her so at the time. To her credit, she saw her error pretty quickly and apologized, and the Nation accepted that apology.
I don’t think any right-wingers can be expected to move on from this, because of Tiger337’s implication that they got nothing else on her, but I think it’s pretty certain that she is in the clear on this issue because she isn’t trying to gaslight everybody about it.