docs(site): remove hero badge from landing

[Tam-Leal]

Summary

Removes the pill badge above the landing hero headline ("Open source. Runs locally. Your data never leaves your machine.") for a cleaner first impression. That messaging still appears elsewhere on the page (meta tags, hero stats, security panel, footer), so nothing important is lost.

Type of change

• Bug fix (user-visible)
• Feature (user-visible)
• Documentation / site only
• Tests, CI, or refactor (no user-visible change)

Checklist

• I ran npm test locally (required for code changes) — not applicable; site-only HTML/CSS
• I smoke-tested with npm start if dashboard.html or API behavior changed — not applicable
• No secrets in commits (config.json tokens, .env, PATs)
• Updated CHANGELOG.md under Unreleased when the change is notable — skipped; minor landing polish, not a product release note

Release

• No GitHub Release needed (default for tests, docs, CI-only)
• Release needed — describe why users should download a new build:

Test plan

• Serve site/ locally (e.g. npx serve .) and open index.html
• Desktop: hero starts on headline + CTAs; no badge above the title
• Mobile (~390px): layout unchanged aside from removed badge spacing
• After merge + deploy: spot-check https://www.gitdock.dev/