What was the character John H. Miller doing according to the title of an award-wining film?

"Saving Private Ryan" is a 1998 American epic war film directed by Steven Spielberg and written by Robert Rodat. Set during the Invasion of Normandy in World War II, the film is known for its graphic portrayal of war, especially its depiction of the Omaha Beach assault during the Normandy landings.

The film follows United States Army Rangers Captain John H. Miller (Tom Hanks) and his squad (Tom Sizemore, Edward Burns, Barry Pepper, Giovanni Ribisi, Vin Diesel, Adam Goldberg, and Jeremy Davies) as they search for a paratrooper, Private first class James Francis Ryan (Matt Damon), the last surviving brother of four, the three other brothers having been killed in action.

The film won several accolades, including Best Picture and Director at the Golden Globes, Producers Guild of America, Directors Guild of America, and Critics' Choice Awards. The film was nominated for eleven Academy Awards at the 71st Academy Awards including Best Picture, Best Actor (Hanks), and Best Original Screenplay, and won five: Best Director (Spielberg's second), Best Film Editing, Best Cinematography, Best Sound, and Best Sound Effects Editing.