Q. Is there such a thing as Mince Spies?

Q. Happy New Year, Oracle!
I am embroiled in an imbroglio; exactly which version of "Have Yourself a Merry Little Christmas" did Coldplay record for the limited edition EP Mince Spies, back in 2001? Was it the one that you have on the time line on this site, which is also the one that was recently (re-)aired, and put up for download, by Radio 1, who said Chris had come especially to record it in their studio, or is it the version where Chris says at the beginning of it "This is take 4 of Have yourself a merry christmas, just for *something sounding like "Kay"* Rock, Los Angeles. Ready?", which is also the version to be found on Youtube, adorned by a cover of the EP, when you search for "Coldplay have yourself a merry little christmas"?
I know I have a habit of writing criminally long sentences. Apologies.