Fix docs home header/nav/footer to match rebuilt site pattern

[GsCommand]

Motivation

• Make public/docs.html use the same header, Docs dropdown, and grouped footer pattern as the rebuilt canonical pages so the Docs Home visually matches other site pages.
• Remove duplicated visible branding and local CSS overrides that caused inconsistent nav active state and a cramped footer layout.

Description

• Updated public/docs.html to load /css/site.css and adjusted the inline header/nav CSS to match the canonical pattern used by public/docs/wrap-your-agent.html and public/verify.html.
• Hid the duplicate brand text by applying the canonical .brand span{display:none} style so only the logo image is visible in the header.
• Normalized the Docs dropdown markup and CSS (single Docs ▾ active label linking to /docs.html, dropdown menu behavior, and added aria-haspopup="true").
• Replaced the footer markup/CSS in public/docs.html with the canonical 3-column grouped footer (.footer-grid) and spacing to restore grouped columns (Product / Developers / Proof).

Testing

• Ran npm install in the repo which completed successfully.
• Ran npm test and all unit tests passed (26 passed, 0 failed).
• Attempted npm run build but the repo has no build script (script missing error).
• Ran example checks in examples/webhook-auto-verify with npm install and npm run check, which completed successfully.

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Codex Task

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Project	Deployment	Actions	Updated (UTC)
commandlayer-commandlayer-org	Ready	Preview, Comment	May 21, 2026 10:39pm
commandlayer-org	Ready	Preview, Comment	May 21, 2026 10:39pm
commandlayer-org111	Ready	Preview, Comment	May 21, 2026 10:39pm