🧹 Remove unused imports and state in Home page

[aniruddhaadak80]

🎯 What: Removed unused imports (Input, ScrollArea, Github, Link) and an unused state variable (showSignInPrompt) in src/app/page.tsx.
💡 Why: Improves code maintainability and readability by removing dead code.
✅ Verification: Manually verified that the removed imports and variables were not in use. useRef was kept as it is actively used by signInBtnRef.
✨ Result: Cleaner code in the main application entry point.

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PR created automatically by Jules for task 5298828016601576238 started by @aniruddhaadak80

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Pull request overview

This PR cleans up the Home page (src/app/page.tsx) by removing dead code (unused UI/icon imports and an unused showSignInPrompt state/setter), improving readability and reducing noise in the main app entry point.

Changes:

• Removed unused UI imports (Input, ScrollArea) and Next import (Link).
• Removed unused Github icon import from lucide-react.
• Removed unused showSignInPrompt state and its setter call in the auth gate.

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