Updated October 12, 2022
NASA is targeting the next launch attempt of the Artemis I mission for Monday, Nov. 14 (a month from this post)
As of Tuesday, October 11th, the Starship 24 (SN24) and Booster 7 (BN7) prototypes were once again seen fully stacked on the orbital launch pad, launch NET November. But unlike SLS, Starship will have 2 full stacks ready for the first launch. If one has a less than perfect flight they can adjust the 2nd and launch quickly. And have a 3rd full stack in progress that would be ready by the 2nd launch.
Artemis 2 isn't planned to launch until spring 2024. No matter what happens to Artemis 1 or when it launches.