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Disclaimer:I guess i'd say that i'm a dilettante at this stuff,compared to members here with vaster reserves of knowledge than mine.
That being said,in OTL APCs are generally open-topped,both the halftracks and the fully tracked ones and armored cars in the period are unable to carry infantry.What would be needed to have a wheeled and enclosed APC with a turret armed with a machine gun(either rifle caliber or 12.7mm),more or less like a BTR-60PB,in WW2?
With good truck designs and industrial capability,the US seems to be the most likely to develop such a vehicle,but what would it take?