First off, Cold Start is real.
Second, Cold Start was designed so war could start right away, without political interference from any quarter.
Third, Cold Start was designed to force Pak's nuclear hand so India can initiate a first strike.
So, it is up to Pakistan to escalate the conflict right after the invasion. Which means Pakistan can respond conventionally or unconventionally. The ball is in Pak's court. But they shouldn't forget that if Pakistan decides to escalate, they will be met with the full ferocity of India's nuclear arsenal and the 3 strike crops.
Well, good luck.