Yes that answer looks correct to me though it leaves off some later uses in the book series (which is what makes this a slightly tricky question to answer). But in terms of first use it nails it.

Did you add the "Mention the events leading up to it, the book number and name, and the chapter title if one exists." part to the prompt?

I'm wondering if that produces noticeably better results.

Edit:

For reference this is the response I get from Bard:

In A Crown of Swords (Chapter 13) Elayne and Nynaeve first learn about the Bowl of the Winds and begin their search for it.

The Bowl of the Winds is then used in the Wheel of Time series in the following books:

The Path of Daggers (Chapters 5, 24, and 35) - Nynaeve, Talaan, Aviendha, Elayne, Metarra, Garenia, Rainyn, Kirstian, Reanne, Tebreille, Naime, Rysael use the Bowl of the Winds.

Winter's Heart (Chapters 24 and 37) - The Bowl of the Winds is used to stop a massive storm that is threatening to destroy the city of Ebou Dar.

The Gathering Storm (Chapter 34) - The Bowl of the Winds is used to create a powerful windstorm that helps to defeat the Seanchan army at the Battle of Maradon.

A Memory of Light (Chapters 19 and 35) - The Bowl of the Winds is used to fight the weather-controlling abilities of the Dark One's forces during the Last Battle.