You ask the right questions. In theory, you could. In practice, it can’t be as efficient as finding other sources (e.g letting plants do the work for us). The reason is that CO2 is the lowest energy molecule you can get with carbon and oxygen. Pulling them apart and making something else requires adding a lot of energy. Worse, chemical reactions like that (where the atoms are bonded together) always take extra energy to drive them forward.
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