That's the point of the story. You don't need to forgive Lydia. Lyrica is the one who deserve the apology, and I'm sure Lyrica will forgive Lydia anyway. Remember the settings of this story and how bad their life before. They are powerless woman, got abandoned and needs to crawl from the bottom by themselves to survive. And Lydia's instinct is not parental love but survive. She is not loved by her parents. She is always trying hard to survive since she is young, that's why the moment Lyrica got captured all she can think is still about how to survive. Lydia's decisions in her past live is all wrong, but what could she do at that point? She gained power but she is nothing but just a lackey. Meanwhile in the current life, Lydia has the upper hand. She knows what will happen in the future, she also knows how to reach the emperor. She has better choice now. If she choose the wrong path again, then she is definitely stupid. But if not, she learned something from the past. She is a complex character, well written, and I like that she is so human.

Like, I get it she’s changed so much and recognized she has bad habits but damn…even in her last moments her mother couldn’t even say she loved her daughter but instead realized her daughter loved her. Idk maybe I’m biased cause I’m adopted and feel abandoned by my birth mom but for Lyrica/Lily, I could not forgive the mom like yes she didn’t remember the past life but Christ bro… such mixed emotions