Alec Baldwin was "the studio". He was the producer.
There were 11 Producers. He was just given the title producer because he was the star. There was an Executive Producer who managed things and other Producers who put up the money.
There were big problems that people were apparently plinking with the fun replica revolvers and there had been 2 other incidents on live rounds being fired on set. All of the this the Armorer, Director, and Executive Producer should have done something about well before the “accident”, and actors and staff should have brought the problems to those peoples’ attention.
All of this might not have been as big a problem if Baldwin wasn’t playing with guns or whatever with a weapon he didn’t check or see checked that probably shouldn’t have been loaded at all.