Please bear with me here as I’m a software guy and I’m prohibited from possessing a screwdriver in twenty-four states. So is this right?–
Slice open enough of the cover to remove or scrunch back the shielding to expose the wires and to perform the following steps;
Assuming, as you said, orange and yellow, cut those two, strip the ends, twist the swapped ends together, solder, and insulate each one with electrical tape (lazy man’s heat-shrink tubing);
The other uncut wires are now a bit longer than the spliced ones; kink and fold them if necessary, then use electrical tape to wrap the bundle.
Test 3-to-4 and 4-to-3 continuity.
Optional wire color test: after cutting the first wire, do an end-to-end continuity test on pins 3 and 4 to make sure one of those is now open; if neither is open, either throw the cable away or splice the two cut wires and choose another one to cut and test. If one is open, cut the other wire and test continuity on the other pin, etc.