I just realized this timeline fact...

And I apologize if I am slow to realize this but Elaida's Foretelling
the Andoran Royal Line being the key to Tarmon Gai'Don was referring
to House Mantear not Trakand. Tigraine vanishes in 972. If Mordrellin
dies that year, with 2 years of Succession, Morgase takes the throne
in 974-975. But Elaida gains the shawl the second year of Moiraine and
Siuan being novices, 973. So Elaida is wrong about Elayne being
crucial. It is, in fact, Rand (or Luc) who is going to be crucial.
Poor Elaida has built her whole career as Aes Sedai on misinterpreting
her Foretelling.