How great can we make the Mirdasid dynasty?

I've been fascinated by the Mirdasids for a while now. I really enjoy the way they managed to play both the Byzantines and Fatimids off each other, and their role as a resurgent Arab dynasty in a time period when the Turks were pushing the Arabs out of power to a large degree.

Also they came pretty close to taking Egypt once upon a time, if I recall correctly.

So long story short, what's the greatest extent they could rule? Could they become a major Levantine power? Conquer Egypt? Take advantage of a non-butterflied Turkish conquest in Anatolia to properly assert their independence? What is their limit?


[Super basic background:

https://en.wikipedia.org/wiki/Mirdasid_dynasty]
 
Could be a very useful Byzantine ally and buffer against the Fatimid and Seljuk dynasties. However I doubt they could take down the Fatimids, maybe take over Palestine and combine forces with the Byzantines against Seljuk invasion.
 
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