The station is under repair. Escalators and elevators were made 👍
Now the local trains of apulotreni (to Alborrobello, Matera) the same place as the trains to the airport.
It is super convenient that there is an audio guide to the city in Russian right from the train station: https://map.tmatic.travel/ru/tour/2795-bari-ot-tezeks-com/ru