Step 1: Recall the Background:
These two names are a well known pair. They came from Persia with Humayun and later led Akbar's workshop. The first great project of that workshop was a giant illustrated story book on cloth.
Step 2: Test every option one by one:
1. Hamza Nama: a huge illustrated tale made at Akbar's request under the two Persian masters. This matches fully.
2. Akbarnama: it was a court chronicle illustrated mostly by Indian painters, so the Persian masters are not its main supervisors.
3. Tuzuk-i-Jahangiri: it is a written memoir of the next emperor, so the timing is wrong for these masters.
4. Jahangirnama: this is the same book as the Tuzuk, so the same timing problem applies.
Step 3: Confirm the result:
Only option 1 (Hamza Nama) passes the test above, and the other three fail for the reasons given. This also agrees with the standard fact: Akbar invited the Persian masters Mir Sayyid Ali and Abd us Samad to Delhi. They led the large illustrated manuscript Hamzanama (Dastan-e-Amir Hamza), which has about 1400 big paintings on cloth and took many years from about 1562.
Final Answer:
Option 1, Hamza Nama.
\[\boxed{1}\]