Being unproductive inside a situation that seems like a cage is completely your choice.
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I have seen a cage(s) before and I can very well tell you there is room to innovate even right inside that cage.
Most of the innovations that has changed he world where bother inside the most unfriendly situations.
You must choose the picture you want to see and the picture you want the world and subsequently your "task masters" should see.
Life is a cage in itself but we never know because we are obligated to keep grinding. No one is told by their parents that life will be hard and difficult.
Those who have come before us are aware of the unpredictability of life, but we are encouraged to keep grinding because, on this platform, there exists everything we need to grind.
Adopt the grinding mentality of living into your caged situation and you will come out looking better than you ever thought you would.
Nothing has that absolute power to stop you from being your true self.
Adapt to your environment and become the hunter instead of the hunted.