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Assuming that "Irrational pair" is referring to the square root of two... I don't really follow much politics. Is the 'leftist group' American, Canadian, British or Australian? Or did you go off the beaten path and refer to an Israeli or maybe an Indian leftist group?
I think if you're experiencing burnout, you'd rather do something else that what you're doing right now.
Of course, I have not been working long enough to feel the actual burnout.
But if I ever did, I would surely spend some time doing what I want along with doing my job.
That would require me to reduce the time I spend on my job but I believe I can plan to get a balance.