The charger is a genuine Samsung charger and the charging cable is included.

Samsung Electronics GmbH
Hello,
yes, the fast charging adapter Duo with data cable 50 Watt EP-T5020X is compatible with the Galaxy S23 Ultra.
Best regards from Schwalbach,
Your Samsung Service Team

Yes, the Samsung 50W Duo Power Adapter (EP-T5020XBEGEU) can charge the Samsung Galaxy S23 Ultra. The adapter supports Super Fast Charging 2.0 and is compatible with Samsung Galaxy mobiles, including the S23 Ultra.