Welcome!
I've not see a parts list for most Apple products. You can search vendors by the 7,1 code you found or, better yet, the Apple name: MacBook Pro Mid 2010 13-inch. The latter is more often used by parts vendors. If I do that, I get part number 922-9062 for the 2009 and 2010 13-inch MacBook Pros.
That number returns this list on Amazon:
https://www.amazon.com/s?k=Apple+cable+922-9062&i=computers&ref=nb_sb_noss
Don't pay more that about US$15. I've seen some vendors asking US$40-50 and the is ridiculous.
Installation video here is for the 2011 model but is the same for the 2010: Hard Drive Cable
The 2009 and 2012 13-inch models share the same cable. The 2011 and 2012 each have a separate cable part number.
Thank you for your sacrifice and service, Sergeant.