My college-going son is a Virginia resident, studies in NY state and interned summer of 2019 in PA/Pittsburgh. He received a W-2 that had taxes withheld for PA and for VA.

My college-going son is a Virginia resident, studies in NY state and interned summer of 2019 in PA/Pittsburgh. He received a W-2 that had taxes withheld for PA and for VA. Since VA and PA are reciprocal states, should all the PA taxes that were withheld be refunded? 

His W-2 also had local Pittsburgh taxes withheld.  What does he need to do to get a refund for local Pittsburgh taxes?

Thanks!