In his 2013 book, Teaching Type to Talk, Alan Peckolick says:
I designed the logo, record jacket, and posters for musician Paul Simon’s album and movie, One Trick Pony, which came out in 1980. I used the typeface Avant Garde Latin with pointy serifs, which had never been released to the public, and broke up the word “One-Trick” with a hyphen. It’s strong, in your face, and the right look.
So this was actually a variant of Avant Garde Gothic that Lubalin and Peckolick must have kept to themselves. You can also see it in Peckolick’s “NO MORE WAR” poster:
The mug uses Cortez with its descending alternates.