I think Baldwin is absolutely liable as a producer of the film even if the facts bear out him not being responsible as the shooter due to movie-specific safety regulations.
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It is absolutely negligent for a movie as gun-heavy as a Western to hire only a single armorer in the first place, much less making that one armorer only part time and telling her she had to switch back and forth between being armorer for a sharply limited number of hours and being "only" a props assistant the rest of the time.
As if that wasn't bad enough, the safety investigation found that the producers actively undermined the limited armorer they had by flatly ignoring her warnings that she couldn't perform necessary functions in the limited hours they were willing to contract, then doubled down on it by ordering her *not to* perform certain armorer functions such as safety briefings, claiming they'd assign those to other production staff and then *not actually doing so*.
Basically, assuming the information I've seen is accurate, all of the movie producers should go down for criminally negligent homicide. As to the actual shooting, assistant director Halls is probably the most directly culpable person for handing Baldwin a loaded gun which he hadn't bothered to check and explicitly declaring it a cold gun. The fact that Halls tried to claim that even though he made the "cold gun" call, armorer Gutierrez-Reed bore sole responsibility for checking it when she wasn't even allowed to be on set at the time just makes him an absolute bootlicking shit to the criminally negligent producers.