SPOILERS
Soooo I replayed the game again and...I sorta have a hypothesis on how Kuro determines when their life in the simulation ends after the big fight ended.
Sooooo they will see this sign and know it is near, cuz the time varies. In the Princess route they had a week or so if I remember correctly before Kuro was gone, and in the detective route it was shortly after the fight. Soooo I noticed the rainbow. I can't remember if other routes had this showing up but in the princess route, after the fight with Kai and everything was sunny in the land, in the background there was a rainbow, and in the detective route there was the rainbow cotton candy and even rainbow ferris wheel (probably a hint to where to take her???) My theory is that if they see the rainbow after defeating the big bad of the route then they will be gone shortly after. But this may also be totally wrong and maybe there is another meaning to the rainbows. After the route a cg with rainbows appear and MC sees a place with rainbows. So what's up with the rainbows? Hehe. Do they somehow symbolize a new beginning in the game? I am curious about this rainbow theme going on hehe.
And the place with rainbows...is that place like inside her cobsciousness as she is being pulled out of the simulation?
Also in the princess route why was Kuro pulled out first when usually it is Kuro who makes her fall asleep in order to take her out of the simulation. Also is the reason he makes her sleep in most routes is that so she will not notice the transition to when she is pulled out?