I think the whole thing took over a long period of time, but I think the big battle and really when they all fought only happened once since after that the prototype's team really started winning
We STILL dont know who attacked Kissy in chapter 3, and it's not the Prototype because he doesn't have a flamethrower. That is a more important thing to breakdown..
A good chunk of the toys likely realized. That there was no sustainable way to live in the factory in the aftermath of the hour of joy. So they decided to fight against the prototype and his allies. As they likely saw it, they could either slowly devolve into savages and turn on each other or fight for the chance of a breakout.