Hi - you should be able to copy the game over to you Series S if you have network transfer enabled on both consoles:
https://support.xbox.com/en-US/help/hardware-network/console/enable-network-game-transfer-xbox-one
Hope this helps
Quick tip for those experiencing issues when switching between the Xbox series X and the Xbox one X (maybe even s or base) to play.
Make sure to set Cyberpunk to performance mode on the Series X. For some reason if you have it set to quality mode and then switch to playing on the one X the FPS...
