Sure it's not the Hyatt DORADO Beach. Don't think there is a Hyatt in Condado.
If it is Dorado, which is farther from downtown, you'll need a cab which are plentiful at the airport. Not sure about cabs FROM Dorado though. You should check out rental cars. Just cruised in April from SJU and rented a car and returned it to the city office in Condado. Reasonable rate and the cab ride from Condado to the pier was only $10 (AVIS).