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"Say Say Say" and "The Man"
Date range confirmed in Mike Smallcombe’s “Making Michael” (Two months later [in May 1981]… they had the basis of a song that became ‘Say Say Say’... Recording began during the remainder of Michael’s stay… McCartney also played Michael a song on the piano that he had not yet completed, called ‘The Man’, and Michael again completed the lyrics.”) and “in March and April 1982… they also laid down overdubs to ‘The Girl is Mine’ and ‘The Man’” (Kit O’Toole, “Michael Jackson FAQ”).
Mainly recorded in May 1981, additional overdubs recorded March and April 1982
Home Movie Footage (with McCartney interview):
https://youtu.be/5K1bkeXJFc4 (From the 2015 “Pipes of Peace” remaster DVD)
Paul McCartney interview (2015):