I can list out all the different things I tried out in the Creche:
Back entrance -> Instructor (Non-combat) -> Left to finish monastery -> Main Entrance -> Researcher with Lae'zel in machine (Non-combat) -> Egg man (Non-combat) -> Produced Artifact for Commander -> Produced Artifact for Inquisitor
Back entrance -> Instructor (Non-combat) -> Left to finish monastery -> Main Entrance -> Researcher with Lae'zel in machine (Non-combat) -> Egg man (Non-combat) -> Produced Artifact for Commander -> Combat with Inquisitor
Reloaded save to enter Main Entrance First (I do this from here on) -> Researcher with Lae'zel in machine (Non-combat) ->Produced Artifact for Commander -> Produced Artifact for Inquisitor
Main Entrance -> Researcher with Lae'zel in machine (Non-combat) -> Stolen Key from Commander -> Produced Artifact for Inquisitor
Main Entrance -> Researcher with Lae'zel in machine (Non-combat) -> Stolen Key from Commander -> Combat with Inquisitor
Main Entrance -> Researcher with Tav in machine (Non-combat) -> Produced Artifact with Commander -> Produced Artifact for Inquisitor
Main Entrance -> Researcher with Tav in machine (Non-combat) -> Stolen Key from Commander -> Produced Artifact for Inquisitor
Main Entrance -> Stolen Key from Commander -> Produced Artifact with Inquisitor
Main Entrance -> Produced Artifact for Commander-> Produced Artifact for Inquisitor
I have been skipping Egg Man and Instructor as advice I read online only mentioned interacting with the Researcher, Commander, and Inquisitor. I could try to interact act with them as well or simply kill everyone but trying to mix and match everything to find the trigger will take a good bit of time.
