More such humiliation should convince Putin of the folly of war with the West.
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Aren’t you forgetting a couple of other nuclear adversarial bloc players in your equation? Time will tell.
Putin knows that going nuclear will be the end of his life and his country. I do not think he is that irrational. Putin will be hated in Russia for generations anyway. If he fails spectacularly in Ukraine, he is probably a dead man, so he has to keep up the fight. He is a cornered rat, and may feel he has little to lose.