A war? Of course not. It’s a major combat operation. Only congress can declare wars. We haven’t had any in decades. They should call it the Dept. of Major Combat Operations.
The USA never even declared the Vietnam "conflict" as a war, or Korea, come to that, though that did at least have the backing of the UN.
The occurrence of a war is a fact whether or not it is declared, and whether or not the actor waging war does so consistent with the legal requirements their nation's laws put on doing so.
I like Special Military Operation better.
Isn't the currently trendy term "special military operation"?