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Lord Hakudara was invincible with his FTL speeds nobody could beat him but obviously his real purpose for fighting was
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to reawaken Sasuke's Sharingan. This is obviously true and must mean Tobidara = Hakudara because he wanted to progress Sasuke's eyes too
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Once this was done Hakudara wanted to awaken the fox inside Naruto to further his power to be a worthy rival for Sasuke.
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Once this was done Hakudara allowed his vessel(the real Haku) to replace him, allowing Naruto to break the once invincible mirrors and achieve victory.