"Google CEO Sundar Pichai also personally signed off on the terms of the deal," the suit said.
The documents note that the economic terms were emailed to Facebook's CEO and he was advised: "'We're nearly ready to sign and need your approval to move forward.'"
It was the third time the suit was amended, and did not list Facebook or its parent company Meta as defendants.
"Meta's non-exclusive bidding agreement with Google and the similar agreements we have with other bidding platforms, have helped to increase competition for ad placements," a spokesperson said in reply to an AFP inquiry.
"These business relationships enable Meta to deliver more value to advertisers while fairly compensating publishers, resulting in better outcomes for all."
Google, which has adamantly denied manipulating the digital ad market, referred AFP to a 2021 blog post in which it vowed to defend itself in court against a suit it said was "misleading" and without "credible basis."
A company spokesperson further denied that Pichai had personally signed off on any such deal.
Google referred to the agreement internally as "Jedi Blue," the color being a reference to Facebook's logo, according to the filing.
"No rational developer would choose to have its auctions rigged by the market's two largest buyers," the suit said.
"So, Google and Facebook swore themselves to secrecy about the terms of their agreement."
The antitrust suit is one of three engaging Google on different fronts.
The US government filed its blockbuster lawsuit in October of last year, accusing Google of maintaining an "illegal monopoly" in online search and advertising.
The country's biggest antitrust case in decades, it opens the door to a potential breakup of the Silicon Valley titan.
While Google ad revenue has continued to grow, its share of the booming US online ad market is ebbing under pressure from competitors such as Facebook, Amazon and others, according to eMarketer.