By Anousha Sakoui From Los Angeles Times LOS ANGELES—Alec Baldwin has filed an arbitration claim against the producers of the movie “Rust” in a bid to shield himself from liability and cover his legal fees after the death of cinematographer Halyna Hutchins on the set of the western last year. In the arbitration demand filed Friday, Baldwin alleges he was not responsible for the death of Hutchins, whom he shot during rehearsals for the film on a movie ranch outside of Santa Fe, New Mexico. Seeking indemnification from the “Rust” production company, Baldwin reiterated earlier public statements, saying that he was not in charge of firearm safety or hiring and had been told the gun did not contain any live ammunition, according to the filing with the JAMS private arbitration service reviewed by the Los Angeles Times. “This is a rare instance when the system broke down, and someone should …