The quotation from Robert Owen’s "A New View of Society" emphasizes the importance of establishing rational plans for the education and character formation of children from an early age. This focus on training children in good habits to prevent falsehood and deception aligns most closely with the idea of free public education, as it promotes the idea that all children should have access to education that would shape their character and develop good habits.
Therefore, the most likely supported policy is free public education.