I'm looking for a story similar to one described in this question. I don't believe it is Who Made Me a Princess, because the main character (MC) wasn't blonde and father was horrible to her.
In the story I am looking for, the MC has darker hair. Her father was heartless and didn't care about her and didn't believe she was his daughter and that the evil blonde girl truly was. They were waiting for them to be blessed with power, but the MC somehow didn't activate her powers, although she was sure she would get them. Instead, the fake daughter gained powers somehow. The MC is his true daughter, but he was counting on whomever got the powers being his true daughter and the MC didn't get blessed with powers for some reason.
After this, the father, believing that he was right about the MC not being his daughter all along, eagerly took her to a dungeon and sentenced her to death for pretending to be royalty, I think. Her little brother tried to have her defend herself, but she had already given up, completely stunned by the trap she fell into. The fake daughter was behind all of the madness, even getting all of the MC's maids, butler, her father, etc. to turn on her.
Right as the MC was executed, she woke up a few days/months(?) into the past, before the evil blonde girl who claimed the royal man is her father, came to the palace and destroyed everything. In the new life she has, she spends it changing her cold demeanor towards everyone. She gets closer to her maids and makes friends, even sneaking out to gamble at a casino. She falls in love easily, she is mature, independent, and doesn't care about her father anymore. She never runs to him, trying to get him to love and accept her and because of this, the father suddenly starts wanting the MC's love and attention.

