>The game theoretic irony is that peace can often only be achieved by building up the military strength to deter potential attackers.

But the utility of military build up is non-linear. There comes a point where further gains for your side are marginal while further losses for your adversary are existential. A neutral Ukraine represented a sufficiently balanced state of power that rendered war negative sum for Russia. We overextended ourselves in trying to peal Ukraine away from Russia's orbit. NATO in Ukraine would have been a strategic noose from which Russia would never escape. The Ukraine war is blowback for American policy towards Russia, i.e. expand NATO up to Russia's border, bait Ukraine and Georgia for NATO membership, foment anti-Russian movements in Ukraine that lead to the expulsion of the Russian-friendly president of Ukraine and install someone western-oriented.