Kate Middleton and Meghan Markle had an emotional conversation.
Kate allegedly apologized to Meghan.
The apology followed a royal race row over a book.
King Charles asked Kate to reach out and "clear the air."
The conversation had been four years in the making.
The details of their talk are private.
Kate had apologized to Meghan before.
Kate's kind words had an impact.
Both women got emotional during the conversation.