Can I use the same PhD proposal in a different university?


I was enrolled into a PhD program in USA. I finished the courseworks, passed the comprehensive exam, submitted my proposal which was approved but because of some personal circumstances I had to exit the program. Now I am starting again somewhere in UK and I would like to work on the same topic and would like to use the same proposal, with a little bit of updating literature and ideas. However, the proposal was in Turnitin Database. Now would it be self plagiarized? This was neither published nor it did get any credit. They are all my original ideas and I am passionate about my topic. So back to the question, if I use the same proposal would it be called self-plgiarized?