Back in March 2018, Billy Howerdel of A Perfect Circle had an interview with Laut.de . He told that the title track for their new album, "Eat the Elephant" was meant to be LINKIN PARK track. Chester asked him if he want to contribute a song for the new LP album (which is "One More Light").
From Wikipedia:
"The track "Eat the Elephant" also went through a number of changes and iterations, originally starting as a song for Howerdel's solo band, Ashes Divide.[1] Howerdel had the song half complete when he was contacted by Linkin Park frontman Chester Bennington, who was then working on the band's 2017 album One More Light, a release in which the band decided to co-write with many outside songwriters and music producers.[26] Bennington asked Howerdel to co-write a song with him for the album, and Howerdel accepted, feeling that "Eat the Elephant", at that point, was a song he could see Bennington singing on.[26] The two worked on the song together, but it was ultimately dropped from One More Light, not fitting the pop-oriented sound the album eventually moved into. Howerdel later decided to consider it for A Perfect Circle again; working with Sardy to strip down and rework the demo. Keenan then wrote entirely new lyrics and sang all vocals for the track for the album."
The album finally released and here's the title track that was meant to be LP song. This version is slightly different than the original version.