Greek-Punic Language

I'm curious what a Greek-Punic language (Helleno-Punic? I don't know what to call it actually.) would look like. Basically, in a pluralistic Carthaginian Empire where Greeks and Carthaginians are on equal footing, what would an eventual mixing of the languages turn out like?
 
I think the problem is less having Carthagian mixing with Greeks (IOTL, they mixed quite deeply with Libyans) than Greeks being inclinded to mix with Punico-Libyans.

Even when in minority, surrounded by different peoples (such as in Egypt), they kept an importantly distinct identity.

I could see however, in a first time, a Carthagian Greek dialect on western North Africa, and an influence of Punic on western Mediterranean greek communauties.
 
Consider tha the Carthaginians were long the minority in their own state. And wasn't Punic still spoken a little by Augustine's day?
 
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