Kind of… strategic is more the decisions that lead to the air force being sent to bomb things like ball bearing factories vs. airfields vs. oil refineries vs. railyards vs. cities vs. dams, etc…
Which ball bearing factories get bombed, and on what date, and by what wings/squadrons is more operational level decision-making.
The actual bombing mission itself is the tactical culmination of the other two levels’ direction.
Or… if you want to look at a historical event - D-Day, the strategic aspects of it centered mostly around where and when to invade, and what the broad-stroke plan was after the invasion.
The operational level part concerned concentrating the forces in southern England, which ones would be landing in the first wave, and so on.
The tactical level part was which regiments and battalions were assigned to which beaches, and what their objectives were.
Basically each level is a layer of abstraction of the layers below; if it helps, think of it this way- in a peacetime corporation, the strategic level concerns what products the company produces, what market share it possesses, and how it plans to improve that market share and produce profits. The operations level is more concerned with the actual implementation of those plans- the production of the products, the distribution of the products, the high-level design (what new features, etc…) and the marketing of the products. The tactical level is more the actual production, design and distribution of the products themselves- running the machines, dealing with daily snafus on the line, the actual nitty-gritty logistics, the actual drafting of parts in CAD systems, etc…
As far as nuclear weapons are concerned, their nomenclature is directly related to the level at which they’re intended to be employed. Strategic weapons are intended to fulfill the roles that the huge fleets of B-17, B-24 and B-29 bombers occupied during WW2- bombing the enemy war material infrastrucuture and population. Tactical nukes are intended to be employed on the battlefield- nuking airbases, headquarters, troop concentrations, etc… There aren’t really “operational level” nukes- that’s where the confusion comes in, I suspect. They’re typically called “theater level” nukes instead, and are meant to hit operational-level targets far in the rear, but that directly support or feed tactical level formations. Stuff like railheads, large supply dumps, freight airfields, railyards, road junctions, etc… That’s what the Pershing II missiles were intended to do.