[FEAT]: Add a cool, modern design + Refactor Code & Bug Fixes

[Spiral-Memory]

As an EmbeddedChat developer:

I need to:

• Add a modern look with random colors for chat names.
• Provide an option to open the Sidebar as popups.
• Implement a different chat input style.

So That: Users will have more flexibility in choosing different designs.

Acceptance Criteria:

• [x] Implement random colors for chat names.
• [x] Add an option/variant to open the Sidebar as popups.

[Spiral-Memory]

Hey @sidmohanty11 Please add the appropriate labels to this issue.

Thanks !