"...not a new war..."
Exactly this.
Besides, it really doesn't count as a "war" unless troops are deployed. This doesn't even rise to the level of the 1983 Grenada incident, which is barely considered to be a war by any measurable standard.
Anyone remember "Operation Southern Watch" or "Operation Desert Strike"? Bill Clinton just loved chucking Tomahawk missiles at Iraq like lawn darts back in the 90's. "Operation Midnight Hammer" was basically the same kind of thing.