Takhisis said:
Hattusas is the capital of the Hittite Empire, also known as Hatti.
Hm, that was an answer, but not the reply to the "question".
If Mitanni/Hurri should be in or not depends on the map (scale + cut-out(?))and time span, I think.
a) Map: Since Cyprus will be on map, the eastern mainland vis-à-vis could be ruled by Hurri, even if this would be not "correct" in historical view. The "Empire" never was that large, but the hurri influence spread out there.
b) Time span: If you coose Thutmoses (I or III)/Hatschepsut to be egyptian leader... under Thutmoses III rule Egypt Empire grow up to the bank of the Euphrates. The Egypts even cross the River and battles the Hurris, but the Euphrates still was the border. This would be a more epic scenario, from reuniting Egypt to the biggest Egypt Empire (sceanrio time span = ~1570 - 1448).
If Ahmose is the egypt Leader, then the sceanrio may be focus on reuniting Egypt at the end of Second Intermediate Era and founding the New Kingdom and the 18th dynasty. If thats the case, there is no absolute need for Hurri beeing on that map. (sceanrio time span = ~1570 - 1525).
@Crate/Cyprus: Crete could have some special luxury to trade with, Cyprus was the main digging area for copper in bronce age.