Don't think there will be a war. Even a limited skirmish is out of the question for now.
China has achieved what it wanted by stationing some force across the northern border.
Threat of India waging war against Pakistan to capture GB was real. We know that India is not capable of capturing GB, however, any conflict between India and Pakistan would have resulted in disruption of the last phase of CPEC. This is not only unacceptable to Pakistan, but even to China. With rising energy demands at cheaper costs to maintain the competitive advantage, China doesn't want to delay BRI, of which CPEC is an important part.
India tried several options by:
1 - Creating problems through Afghan terririst regime.
2 - supporting baloch insurgency with some help of Iran.
3 - Fanning internal political chaos by buying political leaders who have their business interests attached with India.
The above three have not achieved desireable outcomes. Pakistan successfully handled situation in Afghanistan and the adjacent Pashtun belt is now mostly under Taliban control who are pro Pakistan. Peace in Afghanistan with Taliban's demands fully provided for, Pakistan doesn't need to worry about Afghan in the near future.
Baloch insurgency is also dying a timely death. With Iran on board with China, it's extremely difficult for Baloch separatists to operate freely across borders. This is why we are seeing Baloch coming into mainstream every other day.
The political chaos is also in its last stage. After Maulana's last attempt to create some kind of problems, this issue will be settled.
India was in a hurry to attack GB to fullfill western ineterests before Pakistan could start reaping benefits of achieving above mentioned successes. This credible information lead the Pak Army to call all political leadership to take necessary constitutional steps. However, the trumpt card was played by China to kill Indian ambitious plan for good.
There will be no escalation as per my understanding, but IA will have to keep its military placed across the who northern border due to fear of Chinese salami slicing. A ratio of 1:1 engagement against Pakistan army in Northern areas will result in a defeat of Indian Army, specially when a minimum force has to be kept on the northern border to address Chinese threat.
Comes March 2021, and the Indians plan will be burried in a deep dark pit forever.