Hoginedgewood -- I went to the CASA link you provided (thanks) and now understand your disappointment. The Spyder-side harness is definitely offered as Plug-and-Play. And the pictures in the CASA description show a P&P design without any unterminated Orange wires. And there is no parts list showing the wire tap needed for a non-P&P design.
In my 2014 RT-S Owner Manual "How to Replace Fuses and Lights" F4 in the RFB is identified as Trailer Module. Do you have such a fuse position?
If not, then a P&P solution isn't possible for your F3 and you will have to tap into DC plugs power. It's a bit complicated. Trailer Module power is Always-On to comply with the vehicle rule that mandates the trailer brake lights are activated whenever the Spyder brake pedal is pushed. If you wish to comply with this rule, then the DC plug VBAT fuse position must be used. If not, then the DC plug VKEY fuse position may be used.
If there is such a fuse position, then is the Black wire from the 119147 connected to the P&P connector, specifically the plug that mates to the Spyder's socket?
If it is, then insert a 10amp fuse the Trailer Module position and, without turning on the ignition, press the brake pedal. You should observe 12V on the 4-Pin Green and Yellow wires. And the Orange wire is an extraneous artifact intended for some other purpose.
If it isn't, you're back to tapping the Black+Orange wire into the DC plug circuit.