[New Feature] Landing page CTA change to bot input box

<img width="1221" height="758" alt="Image" src="https://github.com/user-attachments/assets/d25c2c4b-4ddd-4f17-a848-1204ef681b0c" />

User can engage directly with our bot, once user send the first query, chat widget will be enabled in full screen mode and send first completeion request. 