I don't think so. NATO countries won't wage war against Russia (directly I mean, because they are already at war through proxy Ukraine).
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Well.. that is a matter of interpretation. Tens of thousands of "volunteers" from NATO nations are fighting against Russia in Ukraine (ex-army or serving members of the armed forces). More than $100 billion worth of weapons have been provided by NATO to Ukraine. Ukrainian soldiers are being trained in NATO nations. Informally, the war is between NATO and the Russian Federation. The only thing that hasn't happened yet is the use of nuclear weapons (and I am pretty damn sure that if that happens, then NATO will be going first).
BTW, for the Ukrainian fans I have this:
https://www.bloomberg.com/news/articles/2023-01-23/germany-still-years-away-from-replacing-russian-gas-capacityAmerican to send tanks to Ukraine - Germany to send more weapon as per Poland request - this is surly a world war 3 in making