That should have been a very long time ago because I still remember the "No way BA/AA" of a red carrier
Late 80s/early 90s.
Some interesting background on the long-running spat between BA and AA in this Fortune Magazine article from 1990:
AMERICAN TAKES ON THE WORLD With tough guy Robert Crandall at the controls, this airline has soared to the top of the U.S. industry. Now it's pushing into fast-growing international markets. - September 24, 1990
Of course, they have long since kissed and made up.