https://law.justia.com/codes/new-mexico/2018/chapter-30/article-2/section-30-2-3/
Looks like involuntary manslaughter to me.
You need to go read your link better:
“Involuntary manslaughter consists of manslaughter committed in the commission of an unlawful act”
Failing to check a prop gun, or pulling its trigger while it’s pointed at someone are not “UNLAWFUL ACTS”.
Irresponsible, but not UNLAWFUL.
Baldwin would not be charged with murder or manslaughter in any district based on what has been reported to date.