docs: replace stale static test badge with dynamic CI badge (#13 #15)

[Liohtml]

Summary

Two README badge fixes:

• [repo-health] Low: Static test count badge is stale (shows 175, codebase has 269 tests) and has a broken link #13 (Low) — stale test count badge: tests/175 passing was a hardcoded static image with an empty href (non-clickable) and the count drifted to 269 then 184 over time.
• [repo-health] README: No live CI status badge — build health is invisible to contributors #15 (Low) — no live CI badge: a working GitHub Actions workflow existed but was invisible from the README.

Replaced the stale static Tests badge with a live GitHub Actions CI badge that auto-updates and links to the workflow.

Test plan

• Badge URL matches the existing .github/workflows/ci.yml
• No code or build changes; just README

Closes #13
Closes #15

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📥 Commits

Reviewing files that changed from the base of the PR and between 805f55b and 44425d5.

📒 Files selected for processing (1)

• README.md

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch claude/readme-badges

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