The entire history of batteries is not about the search for a "perpetual motion machine," but a journey towards maximum efficiency within the given rules. We learn to make the "leaky bucket" as least leaky as possible, stretching the moment of saved energy over years.
True victory is not in overcoming nature, but in understanding its rules and ingenuity within them. Perhaps the utopia of phones lasting for years and electric vehicles traveling thousands of kilometers is unattainable in an absolute sense. But each new battery, each percentage increase in capacity, each additional recharge cycle is a step in this eternal, breathtaking race.
And as long as scientific inquiry is alive, this war with entropy will continue — the most beautiful and hopeless war in the history of humanity.