There is what is called a "remote lamp driver module" behind the dash that is designed to illuminate the Check Engine Light if there is a complete failure of the system. In this case, a missing computer.
If you remove it then you'll be set.
When I did my first swap I didn't know this and didn't want to remove the bulb and have a possible 12v hot open socket. So I pulled the little printed vellum piece that has the things like the SES, Brakes, Seat Belt, etc. on it and put a piece of black electrical tape on the back side. Reinstalled it and the cluster and never had a problem.