Neither (conjuntion): before the first of two or more coordinates or clauses linked by 'nor'

When either is used as a conjunction, no paraphrase with any is
available, and so either is unexceptionable even when it applies
to more than two clauses: Either the union will make a
counteroffer or the original bid will be refused by the board
or the deal will go ahead as scheduled

https://www.ahdictionary.com/word/search.html?q=either

However ahdict defines the conjunction neither as

"not either; not in either case. Used with the correlative conjunction
nor"

Can’t the conjunction neither be used before the first of more than two coordinates or clauses linked by nor?