What three things did Lily learn from the beginning of the story to the end?

Lily learned that she could be loved.

But you're not unlovable. Even if you did accidentally kill her, you are still the most dear, most lovable girl I know. Why, Rosaleen love you. May loved you. It doesn't take a wizard to see Zach loves you. And every one of the Daughters loves you.

Lily learns that no one is perfect.

Every person on the face of the earth makes mistakes, Lily. Every last one. We're all so human. Your mother made a terrible mistake, but she tried to fix it... There is nothing perfect... There is only life.

Lily learns to forgive.