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Hi, I hope I can offer some help with your question.
From your description, you are very clear on what is and isn't right for you, and you have been clear at explaining this. If you know that you do not want to be friends, and you get the feeling that her behaviours and words are inconsistent, and throwing you off balance in a way that holds you to her and doesn't allow you to move on, then it sounds like you are doing the right thing in creating strong and firm boundaries of what is and isn't appropriate or acceptable for you at this time. Once you have set these boundaries it is important that you too avoid giving mixed signals, such as going out with her, or holding hands with her, when she has said itr is as friends. If you have decided that in order to move on you would prefer to have no contact, and that you don't want to be friends with her, then it is important that as well as relaying this message, that you then ensure your behaviours are consistent with this.
I do hope that helps to provide a clearer perspective on your situation and helps you to ebgin the difficult process of moving on in a way that is healthy for you. Do let me know if I can offer any further help with your question.
So you hope that by creating a distance, and being less available to her, this will prompt her to want to see you more.
In the same way that you don't want her to give you mixed messages, it will not help if you give her mixed messages. You don't want to be friends, but you are holding out for her to change her mind and feel differently, while telling her that you don't want to be friends so that you can move on.
You aren't distancing yourself to move on though, you are distancing yourself until you decide to make a move which reflects your true feelings. In the meantime she is to think you have moved on, not contact you, on your terms and request, and then when you are ready you will contact her.