refactor: move signin component code into separate utility file

[himanshpande]

What I changed

• Moved signinComponentCode into a separate utility file for better code organization.
• Removed large inline code string from the main component file.
• Imported the code snippet from the utility module instead of maintaining it inside the page component.

Why I changed it

• Improves readability and maintainability of the main component file.
• Makes code snippets reusable and easier to manage as the component library grows.
• Keeps presentation logic separated from raw source code.

How I tested it

• Verified the component renders correctly.
• Tested clipboard copy functionality after importing the external code string.
• Confirmed no import or build errors after refactoring.

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