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When the user toggles incognito mode, the entire search interface fluidly transitions from a light, vibrant theme to a dark, private browsing theme. The background crossfades to deep gray, the keyboard shifts to its dark variant, and the incognito mask icon animates into place with a subtle spring. The placeholder text and 'You're browsing Incognito' message fade in smoothly, providing instant visual feedback of the state change.
