Do I do my wudhu before reading the quran in this state or is it permissible without wudhu too?

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Wudhu is Mustahab (recommended) to perform
in this state so even if one does that and recites the Holy Quran, she is not allowed to touch the words unlike when one is not in the state of haiz, where one can touch the words when they perform the wudhu.

You can recite the Holy Quran even without wudhu