NEW YORK — Even as negotiations aimed at settling the NFL’s “Deflategate” scandal drag on, lawyers are seeking every legal advantage in a quest to win over a federal judge.

Repeating arguments they made at a hearing one week ago, lawyers for the league, the players’ union and New England Patriots quarterback Tom Brady are sending Judge Richard Berman letters reminding him of their legal positions over the controversy stemming from deflated footballs.

In July, NFL Commissioner Roger Goodell upheld a four-game suspension of Brady after concluding he was part of a conspiracy by Patriots equipment employees to deflate balls to gain a competitive advantage.

In the latest filing, NFL Players Association attorney Jeffrey Kessler said in a letter to the judge Tuesday that the dispute was just the kind of “extreme” case that gives Berman the right to vacate Goodell’s decision to uphold the suspension.