HI @Anonymous User I am not aware of a current offer for a free watch with the S22 Ultra. There is a Galaxy Watch 4 offer but the criteria only mentions it being available after purchasing a Z Fold4 or Z Flip4 https://www.samsung.com/uk/shop/mobile/home/
I do not work for Samsung or make Samsung Products but provide independent advice and valuable contributions.
My Device- S21 Ultra 5G ( SM-998B/DS ) CSC= BTU , 12GB/256GB
One Ui 5.0,Android 13 .