Can you recommend a fast-acting novel where the female protagonist becomes a tragic female supporting character in a different world, but she changes her fate and does not interfere with the protagonist's affairs. In the end, she pursues her own happiness?

Find a novel about the story of the female protagonist transmigrating from different worlds to become a tragic female supporting character, changing her fate and not getting involved in the affairs of the original male and female protagonists. She searched for happiness on her own. There was a story in ancient times where the original male protagonist was an emperor and the female protagonist quickly dressed up as a cousin female supporting character. Later, she got together with a prince with a different surname. The prince was injured on the battlefield before, and she did not remember whether it caused him to lose his sight or his legs to be disabled.