How about
“It’s Too Late Baby”?
https://www.youtube.com/watch?v=BDm1xD_Kwyc
So, who was Carole singing about when he walked into the party? “You’re So Vain”
https://www.youtube.com/watch?v=mQZmCJUSC6g
Not sure, but if you listen carefully to the refrain, you will hear the unmistakable voice of Mick Jagger as he joins in.
You’re so vain was by Carly Simon.