@Habber
Dear 'OP'
My pleasure. That all sounds incredibly stressful, I'm so sorry.
At the end of the day, she's what, 12? Her brain isn't fully formed and she's dealing with a lot of upheaval. Personally if she wants to go to a theme park, I would take that opportunity to see her. Is that a really a hill you want to die on when the alternative is not seeing her at all? Not checking that she's ok given youre concerns about her living situation?
If you really can't go to a theme park, again, seize the opportunity of her asking to spend time with you- and suggest something else you know she will love and tell her you are so excited to see her.
Keep going with the custody work, it sounds like getting court orders is the best way to get some clear rights that your ex can't interfere with. But in the meantime, don't pass up opportunities to be with your daughter.
She's a child. She's not her mother. You don't get to walk away from her.
Also I think I saw that you're refusing to pay her school fees and making her change schools- if you have a lucrative career (...like being a movie star) I suggest you endorse a smoothie or make a crappy ad or guest appear in a TV show or sell some stocks or borrow money from your parents- and find the cash for her school fees. If she is happy at school and her home life is terrible (it really sounds like her mother is cruel and unhinged) then moving schools is the last thing she needs. Show her that she is important to you and that you will keep your commitments to her by honouring your promise to pay her school fees and give her that stability and a safe happy place to go to.
All the best anonymous OP!