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Hera decides that if she cannot birth any demigod children, she will simply take them. After the Lighting Thief and seeing that so many demigod children are unclaimed, she decides that if she cannot have them herself then she shall claim them. None will challenge the Queen of Gods' claim after all. She decides to just claim all of the unclaimed children. A child stays unclaimed for more than a day? They're Hera's children now. Oh, an obviously Apollo kid shows up? Hera's now.