Rules for three sets of quotation marks [duplicate]

The "rule" is to alternate quote marks. You can start with doubles or singles on the outside, following whatever style guide you prefer, but then alternate. I prefer to start with double-quotes, which means that the next set is single and then double after that, and so on.

John exclaimed, “I was really annoyed when Julia said ‘Leave now if you want to see “Blade Runner”.’!”

However, as Reg has commented, titles should be set in italics. It's very unusual to need three sets of quotes.

John exclaimed, “I was really annoyed when Julia said ‘Leave now if you want to see Blade Runner.’!”

Some Bible passages do need several levels of quotes, for example a passage such as

The Lord said, “Go to my people and tell them, ‘The Lord says, “You are a fallen people...”’”

I would consult a style-guide.

Since I expect most authors would try very hard not to write with three nested sets of quotations, it may be that style guides don't cover this. I would try to rearrange the section to avoid the issue. Failing that, I would use italics for one level of quotation. You could innovate and borrow guillemets?