In my reply to you on FTE there's a link to a wiring diagrams book for your year chassis. It's very possible a '96 & '97 can share a schematic for this feature but Ford is also known to change such things "just because.". Here's the one I linked on FTE:
https://www.ebay.com/itm/185226825224
FWIW that's not a horrible price as listed
but but I believe the seller has or had a Best Offer. Since I put it in my watch list he's sent me an offer of $47 plus free shipping.
If you'll be doing more electrical work or troubleshooting these sorts of things are massively handy to have around.
BTW please let us know what your final solution is---could be helpful to others at some point.