I've done something like this for neutrals. Since it includes population happiness ('urban pacification center') they don't have to research this and I removed it from the default AI research file, and they will only build one because one is enough for their single system. If you made this for a 'major player' AI empire, though, I think you'd get one per system. May as well rename "Urban Pacification Center' to "local government center" I guess?
