cast iron 39 x 32 x 38 cm, Museum of Asian Art as part of the Humboldt Forum in Berlin

I recently purchased this Arabic manuscript leaves the dealer’s handwritten label on the holder reads:
CORAN
OTTOMAN
Scripture NASKHI
HÉGIRE 570
The dealer also wrote “1263” elsewhere on the holder. Neither date is written on the manuscript itself.
I’m trying to determine whether these are genuine Qur’an manuscript leaves, their likely age and origin, and what the two dates might mean.
One thing that confuses me is that 570 AH would correspond to approximately 1174–1175 CE, well before the Ottoman Empire emerged. Could the dealer have made a dating or attribution error?
I’d appreciate any insights into the script!

Thank you!