Final answer:
The first recorded conflict between the Byzantine Empire and the Mamluk Sultanate occurred in 1260 near Jerusalem.
Step-by-step explanation:
The first recorded conflict between the Byzantine Empire (CK) and the Mamluk Sultanate (MS) can be traced back to the year 1260. In this conflict, a Mamluk army defeated the Ilkhanids near Jerusalem, marking the first major defeat of a Mongol force by non-Mongols since Genghis Khan. This conflict was one of the many instances of conflicts between these two powers in the borderlands.