According to my research it did indeed come out of Egypt. 
Quartzite statue of a Pharaoh excavated from the ruins of the Ay and Horemheb temple in the 1930s.
Traces of previous cartouches on the statue confirm that the statue was originally of Tutankhamun, which the later pharaohs thought to repurpose.
Located just north of the Mortuary Temple of Ramesses III, right up to the mud-brick wall that surrounds it, lies the poorly preserved Temple of Ay and Horemheb.
Medinet Habu (Arabic: مدينة هابو, Madīnat Hābū; Ancient Egyptian: ḏꜣmwt; Sahidic Coptic: (ⲧ)ϫⲏⲙⲉ, ϫⲏⲙⲏ, ϫⲉⲙⲉ, ϫⲉⲙⲏ, ϫⲏⲙⲓ; Bohairic Coptic: ϭⲏⲙⲓ)[1] is an archaeological locality situated near the foot of the Theban Hills on the West Bank of the River Nile opposite the modern city of Luxor, Egypt.
Although other structures are located within the area and important discoveries have also been made at these sites, the location is today associated almost synonymously with the largest and best preserved site, the Mortuary Temple of Ramesses III.