HBO will allow cable providers to broadcast the live event to nonsubscribers free of charge.
The National party responded two weeks ago with the compromise to remove the song, but this has not satisfied team Shady.
Metallica, Shakira and Katy Perry also earned records in the latest edition of the book, out next week.
Tweets from Eminem indicate the track might also end up on his forthcoming Shady XV release, due out on Black Friday.
A snippet of the song plays underneath intense scenes from the movie, which finds Washington playing a man who inadvertently takes on the Russian mafia.
Like so many years before this, fans will have to make some tough decision when it comes to who they want to see at any given time across all eight stages throughout the three-day festival.
This year’s Austin City Limits Festival features a diverse lineup that includes Eminem, Pearl Jam, OutKast, Skrillex, Beck and Calvin Harris.