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This is the standard 22 pin Female SATA connector to a 13 pin Slimline SATA Male connector.
Item # ADPC22PFWV13PM
It's $7.75 and is a perfect fit. With this cable, the difficulty of this endeavor goes down to "just a little" :-)
It completely eliminates steps 17 to 20
I just replaced my hand soldered adventurous one with the one above and that's a clean and reliable solution.
Enjoy the 2 drives in the mini.