Not if the starting date is c.270 BC - Carthage only moved into Spain after the First Punic War because they'd lost Sicily and Sardinia
And Libya didn't mean quite the same thing in antiquity as it does now - the Carthaginian Army included Liby-Phoenician units but these seem to have come primarily from modern Tunisia.
Certainly there were old Punic colonies in both (modern) Libya and Spain but these seem to have been trading ports that were only loosely allied to Carthage itself.
And no way should Carthage rule the whole Maghreb as on that map - their actual domain in Africa never spread that much further than modern Tunisia and Numidia and Mauretania were always independent kingdoms.
Plus Carthage a 'democracy' - utter bollocks - what little we know about the constitution suggests a strongly oligarchic system.
Every faction reveal is making my heart sink further - every single paragraph contains elementary historical errors.
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