Following the rollout for the Artemis I wet dress rehearsal, or the rollout for launch, will the core stage perform a static fire on the pad?
None is planned. The troubled "green run" tests in 2021 were the only planned firings of the stage before launch (and only one was planned, the second one was a do-over).
This NASA page lists the steps in the launch campaign from stacking to launch. Here is a summary.
- Interface Verification Testing
- Program Specific Engineering Testing
- End-to-End Communications Testing
- Countdown Sequencing Testing
- Wet Dress Rehearsal Testing
While the last one sounds promising, it is only a fueling test, with no firing planned.
This is similar to a Shuttle launch campaign in that "flight readiness firings" on the pad only took place when a new Orbiter was stacked for the first time, or if there was some other compelling reason (7 were done throughout the program).