I had fun with this, but on my Android phone using the DuckDuckGo browser the third confinement chamber made the containment screen exceed the vertical limits of the screen, locking out time controls and the draggable title. The fourth totally destroyed the UI (as pictured), so that's where I stopped.

Both the second and third artifacts set the agent who just finished to the next-up spot (instead of the end of the roster) during my playthrough. So, when using the automatic shift feature, only two agents ever get used. That can be made to work - SSS level agents manually toggled until they have significant levels in the necessary skill can recover slightly faster than they wear down - but I'm not sure the goal was for the player to have to max out their headquarter upgrades before unlocking the second oddity.