Fix issue with skill-based project search and improve skills selection UI

[Anshkaliya18]

Fixes #638
Fixes #631
Fixes #640

This PR fixes the issue where users were unable to properly find projects based on selected skills and improves the overall skills selection experience.

Changes Made

• Fixed project finding/filtering based on selected skills
• Added a multi-select dropdown for skills input
• Added a dropdown toggle button for easier interaction
• Improved empty-state handling and fallback messages
• Added smoother dropdown animations and hover effects
• Improved project result rendering logic
• Ensured all project responses include valid IDs
• Added debugging logs for easier troubleshooting

Result

Users can now find projects more accurately based on their selected skills with a cleaner and more intuitive UI experience.

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[Anshkaliya18]

Hi maintainers, could you please add the appropriate GSSoC labels to this PR if everything looks good? Thank you.