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I think Anna can surpass Z. She already had a spell to BFR King Of Tears.

http://www.comicvine.com/anna-fortune/29-70385/

Zatanna.

Anna doesnt work as well on the fly as Zee does. Plus she doesnt exactly cast the spells. It appears she carries spellcasting scrolls and use it with her gauntlet depending on the situation. Also, as shes stated, she not that experienced.