In OTL Genghis Khan officially chose Ogedei to be his successor causing his other son Jochi to never forgive his father and essentially withdrew from further Mongol wars, into the north, where he refused to come to his father when he was ordered to. With the Khan contemplating a march on his rebellious son at the time of his death.
What if Genghis Khan lived long enough to defeat Jochi (on top of potentially slaying the latter's sons Batu and Berke)?
In the event Batu or Berke are killed during Genghis's march on Jochi, who eventually leads the alternate Golden Horde?
Also does Hulagu Khan managed to avenge his defeat at Ain Jalut (assuming butterflies do not already change it to a Mongol victory), without the OTL Berke-Hulagu civil war in the Transcaucasus that led to the fragmentation of the Mongol empire? And how much longer can the Mongol empire avoid fragmenting in such a scenario?