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Transformers and national grid/power loss

I learned that the power losses due to resistance in national grid cables is I²R, so to keep the power losses at a minimum, the current should be kept as low as possible, and do do this they amp up the voltage
But isn't P=IV also an equation for power? Why doesn't that mean if the voltage goes up, the power losses also go up? Is P=IV not about power loss but P=I²R is?
Each section of the grid is required to transmit a specific amount of power.

If they step up the high voltage for transmission they can hit the target power at a lower current and therefore lower I^2 R losses in the transmission lines.

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