The 17-year-old has been with the Reds for the past 12 years, coming through the academy.
Having already played for the Under-18s, Pitt will now get a chance to impress in the coming years.
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The club announced the deal on their official website, indicating that Pitt will be playing with the Under-18s and Under-21s moving forward.
He has already featured for the U21s, while he also represented the club in the FA Youth Cup in 2023-2024.