The word that best describes Lani’s public personality is likely "Facade." A facade refers to a deceptive outward appearance or a superficial appearance that contrasts with the reality beneath. If Lani presents herself in a way that might not reflect her true self, "facade" would be the most fitting choice.
"Contradiction" suggests inconsistency, "perception" relates to how others view her, and "manipulate" implies a sense of control or influence over others, which may not directly describe her public personality.