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That was referenced in this answer.
The word used there is abrahmacariyΔ and associated with celibacy.
That word used that way (celibacy) in the 3rd of the eight precepts -- see the references at the start of this answer -- a different word is used in the 3rd of the five precepts.
I think it has a broader meaning than celibacy though, e.g. it's used in SN 54.2 -- so instead of or as well as "celibate" it's translated "the holy life" or "the spiritual life" -- I think it refers to a monk's life, including keeping the rules of the vinaya and the company of other monks.
Where it's used in SN 45.8, I note that the three types of wrong action which are listed there -- i.e. killing, stealing, and sexual intercourse -- correspond to parajika offenses which result in someone's automatically losing their status as a monk or nun.