A World war involves a lot of nations. What nations do you expect to be involved in this mythical world war?
I'm not a big believer that the oligarchs who run the various nations are at cross purposes anymore.
Most of the surface level conflict, IMO, is purposely manufactured so the global leaders can create a one world "government."
Though TBH, I don't think they all agree anymore on the best way to do that.
Some of them want to have a global regime via government technocratic bureaucracy, aka, the UN.
Others in this global oligarch group believe the best way is by a global technocratic syndicate. aka, WEF and other private/public partnerships.
We were headed toward a globalist bureaucracy with the scamdemic, but as a lot of folks realized soon enough what was going on and blew the whistle to wake up the rest of the world, the global oligarchs have now shifted gears to try the syndicate routs. And they have accelerated the program to give people less time to resist and really think about what the hell is going on.
In short, the new global war is the various state establishments against their own everyday people, regardless of if those folks are, "on the left," or "on the right."