feat: update Farcaster contest card background and info fields (#10472)

[devin-ai-integration]

Link to Issue
Closes: #10472

Description of Changes

• Updates Farcaster contest card background with gradient styling
• Adds new information fields to contest card:
  • Time until end of contest (calculated from created_at + interval)
  • Community name and logo display
  • Improved spacing and layout
• Maintains dark theme with improved visual hierarchy

Test Plan

• Verified gradient background matches design requirements
• Tested time remaining calculation with different contest durations
• Confirmed community information display with and without logo
• Checked responsive layout and spacing

Deployment Plan
N/A

Other Considerations
N/A

Link to Devin run: https://app.devin.ai/sessions/3da7316bb0d748dd91b3e07a094fcb06

[devin-ai-integration]

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