fix: replace broken Discord badge image in README

[danieljrc888]

Summary

• Replaced the broken Discord badge (dcbadge.vercel.app) with a shields.io badge that renders correctly
• The Discord invite link remains unchanged

Test plan

• Verify the Discord badge renders correctly on the GitHub README page
• Verify the badge links to the correct Discord invite

🤖 Generated with Claude Code

Summary by CodeRabbit

• Documentation
  • Refreshed the Discord community badge with an updated design and clearer messaging.

[coderabbitai]

No actionable comments were generated in the recent review. 🎉

ℹ️ Recent review info

Configuration used: defaults

Review profile: CHILL

Plan: Pro

📥 Commits

Reviewing files that changed from the base of the PR and between a7fb9e9 and b08dc86.

📒 Files selected for processing (1)

• README.md

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📝 Walkthrough

Walkthrough

Updated the Discord community badge in README.md from a compact dcbadge.vercel.app URL to an img.shields.io badge with a "Discord-Join Us" label, maintaining the same link destination.

Changes

Cohort / File(s)	Summary
Documentation Badge Update README.md	Changed Discord badge image URL from dcbadge.vercel.app with compact styling to img.shields.io with "Discord-Join Us" label; link destination unchanged.

Estimated code review effort

🎯 1 (Trivial) | ⏱️ ~2 minutes

Poem

🐰 A badge so shiny, new and bright,
Discord calls with gentle light,
From vercel's realm to shields so true,
"Join us now!" the banner's call rings through! 🎉

🚥 Pre-merge checks | ✅ 3

✅ Passed checks (3 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The title 'fix: replace broken Discord badge image in README' accurately and concisely describes the main change—replacing a non-functional Discord badge with a working alternative.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.

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✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Post copyable unit tests in a comment
• Commit unit tests in branch fix/discord-badge-image

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