It eventually loses all heat, but not all by reflection. Some heat is absorbed, and then eventually radiated into space, though that rate of radiation is dropping due to the presence of greenhouse gases trapping heat.
Toward the end of the sun’s life, the input energy will become so great that the planet is destroyed by it (probably by being swallowed by it) and then whether or not that counts as losing that heat (as opposed to accumulating it) is just a semantic consideration
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