setting five months run the engine or not?

I subscribe to the once a month for 20 minutes theory. As much for the belts bushings alternater windings and solenoid contacts as much as the engine.
Dry it all out. Run the trans thru the gears.

Just let it sit. No need to run it. If it makes you feel better you could use some fogging oil before you shut it down the last time. That's what I do to my boat engine and it sits without starting from about October to April every year.

Running it for 30~45 seconds is about the worst thing you could do. You cause a lot of condensation to develop inside the cylinder and then you shut it off. So there goes everything from cylinder wall to the exhaust just rusting away.

The "don't start unless you can drive it at least 25 highway miles" certainly applies to diesels. It takes that long/much load to get the OIL (not just coolant) up to temperature. Anything less just adds moisture to the engine.

Gasoline engines produce more heat at idle (less efficient than diesel engines, particularly at very light throttle settings). I do not know if you can achieve high enough oil temperatures at idle with a gas engine. Would not be hard to check-- see how long it takes (if it can even be done) for the oil pan to become too hot to touch.

I can only see 20-30 seconds as negative. Cylinders will at best have incomplete combustion, with water vapor being one of the natural byproducts of combustion. Doubt once or twice would do long-term damage, but certainly can not see the good.

Were you to do anything, move to a premium oil-- one of the synthetics comes to mind.