"Paint yourself blue”

The phrase "paint yourself blue, face magnetic north" sounded familiar to me as well, and it's because something similar was spoken by the character Austin James in the 1988 TV series Probe, specifically in the pilot episode.

When I was eight years old, I took off all my clothes and painted myself blue. Then I climbed up on the roof of a house, I placed both thumbs on the base of a lightning rod, and faced the electromagnetic north pole. Why? Why did I do that?

Perhaps the author of your quote was remembering and referencing the line by Austin James as an example of doing something absurd for no apparent reason.

Here is the Ngram

Looking at examples in Google Books, I think it usually means to look outandlish, do something bizarre—perhaps from the belief that the Druids/Picts/Celts painted themselves blue.

You paint yourself blue and stand before your enemy, fearsome, naked, blowing a horn, in hopes of frightening them into retreat. U.S. News & World Report, Vol. 124, p.8 (1998, snippet view)

"OK. Suppose Laneer said to her, 'Miss Farley, for the good of the business, I want you to strip, paint yourself blue, and go live in a tree like a Druid. I don't want you to ask me why. Just do it. I am depending on you.' How would she respond? Best Detective Stories of the Year 1978 (snippet view)

The same principle applies to you. You could put a lampshade on your head, paint yourself blue, and walk down Main Street singing "Yankee Doodle." As long as you didn't get arrested, you would probably eventually relax and learn that it doesn't matter what people think of you. But this would be a pretty tough thing to do and I doubt that you would ever do it. R. M. Rapee; Overcoming Shyness and Social Phobia: a Step-by-Step Guide (1998)

The Blue Man Group—well, what can I say? When you paint yourself blue, you're going to stand out. The good news is that you don't have to go to that extreme to be successful. Lauron Sonnier; Think Like a Marketer: What It Really Takes to Stand Out... (2009)

In the places where I was comfortable, whether honky-tonk, bohemian ghetto or fraternity house, there was just one rule: if you want to paint yourself blue and walk on your hands, go ahead, just don't suggest, don't even imply that anyone else should too. Even today, any congenial grouping of art and morality makes me break out in eczema. Dave Hickey quoted in Daniel Oppenheimer; Far From Respectable: Dave Hickey and His Art (2021)

I looked to see if the Smurfs got involved, and, sure 'nurf, they did:

If you want to worship trees, worship trees. If you want to worship the Smurfs and paint yourself blue, go ahead. Jocelyn Zichterman; I fired God (2013)

Were the Picts Painted Blue?

Why did the Romans call these peoples the painted ones? Did the Picts paint themselves blue, similar to Mel Gibson in Braveheart? One thing we can be certain of is that Sir William Wallace did not paint himself blue. The producers of Braveheart were well aware of how widespread the idea of the Picts painting themselves blue was. And a mere fact that William Wallace came a thousand years later, would never stop them from going with an arresting visual.

So, where did the idea about the Picts painting themselves blue originate from? Julius Caesar once noted that the Celts got blue pigment from the woad plant and that they used it to decorate their bodies. There are no surviving historic accounts of woad being used in Scotland to paint human skin. People have, nevertheless, tried testing woad and found it much better at dyeing cloth than skin. Woad was, in fact, widely used in the Middle Ages for all types of cloths, including the tapestries. The Great Courses; "The Origins of the Celtic Picts"

The author is being sarcastic.

The specific meaning here is that painting yourself blue, facing magnetic north, and waving a screwdriver over a resume is pointless and useless, and would do nothing to mitigate any risk. The color itself is inconsequential; it just so happens that most speakers in any language choosing a color at random will pick blue.

The further implication is that any action whatsoever intended to mitigate the risk, whatever it is, would be as just as useful as this pointless exercise in personal coloration would be (that is, not useful at all).

Edit: Per @Dan Jurgella's answer below, the ritual described is probably a reference to the TV show mentioned, so the author is also being somewhat condescending as well as sarcastic, since dialogue from the show in question is not a cultural touchstone.

Paint yourself blue: An expression indicating outlandish, wild or possibly scary behavior. Woad. Basically a bright blue warpaint used by (among others) the Picts.

Blue in the face: An expression for stubbornness, typically for ineffective stubbornness. Holding your breath until you are blue in the face.

Facing north, waving a screwdriver, wearing a tin hat, hopping on one foot, knocking on wood or other suchlike silliness: These are assorted superstitious actions that are supposed to invoke good luck, but mostly just evoke giggles from one's companions.