Ex-Machina in Dimensional Travel

Due to unknown reasons, the unfortunate Shuul traveled to No Game No Life Zero and became an Ex-Machina.
After realizing his situation, Xuel began his struggle to survive in this hellish copy.
Fortunately, whether it was luck or something else, he came across a corpse, the corpse of a time traveler, and obtained the system from it!
"A new host has been detected and the binding has been successful. Welcome to the Dimension Crossing System. Do you want to start the extra-dimensional device?"
"of course?"
Faced with this only chance to survive, Xiuer activated the system without hesitation.
"Dimensional shuttle, start!