The device that plugs into the hot shoe and options the camera for a complete over ride at the system level is what is needed, rather than poking about the rear. This is a Canon proprietary device used during servicing and assessing shutter timing accuracy (among a host of system reporting lines). The EOS 1, 1N, 1NRS, 3 and 1V variants have this (the 1V has a different interface).
The annoying infrared film advance mechanism of the 3 has an interlock that prevents the shutter firing, and this is already known. If you break or damage the interlock, you will be in for a service anyway where a technician can properly and safely check this "sync" thing being mentioned.
Other than being effective for its native function (leaving the film leader out) CF-2 "trick" does not work with the EOS 1N (a sprocket-driven drive system which can be fired with no film in it, and which I have only done probably once in 23 years of ownership!), so I cannot see it working with the EOS 3 with the IR advance.