For my understanding, the راسم of the Quran is mutawatir but the movements can be different, also the Uthman codex is the most popular Quran today, and it was approved by imam Ali (AS) when compiled What qirat is it in? If the qirat is in hafs? Then why do we take some verses from warsh (according to some recitation of ahle bayte) ? Is it a mix of those two?

I’m not an expert on this subject. The uthman codex is relatively recent and was not approved by the Imams. Hafs narrates from Aasem who is said to have learnt from Imam Ali as. That doesn’t mean that it’s all in accordance with the recitation of the Imam.

https://ar.wikipedia.org/wiki/%D8%B9%D8%AB%D9%85%D8%A7%D9%86_%D8%B7%D9%87