indicate that Mubarak-Khwaja is actually not from Ordaid descent, but from Toqa-Timurid instead, which gives us the dates and the family tree structure observed...

Tuqa-Temür (also Toqa-Temür and Togai-Temür) was the thirteenth and perhaps youngest son of Jochi, the eldest son of Genghis Khan. He was a younger brother...