Here is the current flight plan for Artemis II.
Because the Space Launch System with its initial Interim Cryogenic Propulsion Stage and Orion service module do not have the capability of entering lunar orbit, Artemis II will simply loop around the Moon as Apollo 13 did after its service module exploded en route to the Moon. Because neither of the previous flights of the Orion spacecraft has tested its life support system, the flight will first fly one high orbit around the Earth before committing to the eight day flight out to the Moon and back, during which failure of the life support system would be undesirable.