[Slightly OT] That is correct however, for sake of clarity, there's no underground (metro) originating from the airport hence I'd get the metro stop Centrum out of the equation. Moreover, some trains will not stop at Centralna but Śródmieście, instead, which is a few hundreds metres away from the former but, still, relatively close to the hotel. The taxi fare depends, needless to say, on the traffic (again, whilst still rather cheap compared to other countries and rarely going over ~45 PLN for getting to the above mentioned hotel, we're still looking at a +30/40% in terms of average fare difference compared to Uber, which I thought was worth mentioning ) [/Slightly OT]

G