docs: add UI prototype and documentation

[ping-maxwell]

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[socket-security]

Review the following changes in direct dependencies. Learn more about Socket for GitHub.

Diff	Package	Supply Chain Security	Vulnerability	Quality	Maintenance	License
	next@​16.3.1
	@​types/​mdx@​2.0.14
	fumadocs-mdx@​15.3.0
	@​types/​react-dom@​19.2.4
	fumadocs-core@​16.14.5
	fumadocs-ui@​16.14.5
	@​types/​react@​19.2.18
	@​types/​node@​25.9.5
	postcss@​8.5.6 ⏵ 8.5.26	+1	+24
	tailwindcss@​4.3.3
	react@​19.2.8
	react-dom@​19.2.8
	@​tailwindcss/​postcss@​4.3.3

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[greptile-apps]

Greptile Summary

Adds a Fumadocs-based documentation application and an experimental UI composition prototype.

• Introduces the Next.js documentation site, MDX content, navigation, styling, and workspace dependencies.
• Adds an experimental page/slot/contribution model and a Bun-hosted prototype viewer.
• Documents the proposed experimental UI architecture and updates workspace/tooling configuration.

Confidence Score: 5/5

The PR appears safe to merge because no concrete blocking or independently actionable non-blocking defect was established.

The documentation routes use bundled MDX sources with an explicit not-found path, and the experimental UI additions are isolated prototype code with validation around slot registration and variant selection.

_{Reviews (1): Last reviewed commit: "docs: add UI prototype and documentation" | Re-trigger Greptile}