Reverse Lockout Solenoid, Tremec T56

I have put a '99 Cobra 32V engine into my '96 Mustang GT.
Now I got a Tremec T56 6-speed transmission that I want to swap in, replacing the stock T45.
The Tremec T56 (out of a 2003 Cobra) that I bought has an electrical connector on the left side of the shifter tower.
I was wondering if that is a Reverse Lockout? If it is: it needs to be connected to the brake pedal switch, right?
My existing T45 does not have a reverse lockout feature, so in that case I'll have to make up some wiring for it... or just install an additional switch somewhere that must be pressed while engaging reverse...
Or am I wrong altogether and the electrical connector is for something else?
Thank you!

Oh and by the way: wtb Shift Knob w/ 6-speed pattern, MGW shifter for T56...

I guess I will prefer the actuation via the brake light switch. However, this still may go wrong if I want to downshift while braking... Maybe I should look into a release pushbutton... but I'd want a delay timer design, otherwise I'd have to push the button and shift at the same time, which makes it a both-hands-operation...