You do know spatial recomposition is shape manipulation right? Rasengan has extremely advance Shape manipulation in it's base form because that's all it relies on for it's creation, Kakashi said chidori uses spatial recomposition (shape manipulation) and physical recomposition (nature transformation) the page before he stated Rasengan was extremely advance shape manipulation
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The first step for learning Rasengan requires Naruto to concentrate on maintaining the chakra in his hands and release a fix amount continuously
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. Second step, Naruto has to concentrate and increase the chakra's power
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. Third step is where Naruto has to take his chakra which is spinning in many different directions and contain it with even more power than what it took to pass the second step
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Chidori which relies on both shape manipulation and nature transformation to be equal to the Rasengan which is 100% pure shape manipulation. Kakashi calls it Shape manipulation here as well if you need out right words
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