Saying that it happened before the Big Bang is super misleading. Most readers would assume that the inflationary period is part of the Big Bang.
But from https://news.ycombinator.com/item?id=20666140, cited by sls:
> They're using "Big Bang" to mean the hot, dense, rapidly expanding state that is the earliest state of the universe for which we have good evidence. In models with inflation, this state occurs at the end of inflation, when "reheating" transfers all the energy stored in the inflaton field to the Standard Model fields (quarks, leptons, and radiation).'