Entropy isn't just about energy. It actually is about order and yes, progression to chaos. Just because the sun supplies energy does not mean you get order. If you add energy to ice you get less and less order as the water melts and then evaporates. The two are not equivalent.

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You're thinking about energy and entropy in the wrong context you could add energy to ice by removing the heat surrounding it, bus increasing the ice. You don't need to add energy to ice to get it to melt the heat will naturally dissipate.

Here's a great YouTube video that could explain it better than I could: https://youtu.be/DxL2HoqLbyA?si=yH1_vHCpQrhIbsON