Pull Analytics out as its own section from Integrations

[devin-ai-integration]

Restructure Integrations/Analytics sections

Summary

Rename section, move nested pages into main section, add redirects

Review & Testing Checklist for Human

• Verify Analytics appears as its own section in the expected location in the sidebar
• Confirm all 5 analytics pages (Google, PostHog, Fullstory, Segment, Mixpanel) are accessible
• Check that the Integrations section still renders correctly with its remaining items (Overview, Support subsection, Postman, LaunchDarkly)

Test Plan

1. Run fern docs dev locally or check the preview deployment
2. Navigate to the Docs product section
3. Verify Analytics appears as a collapsed section separate from Integrations
4. Expand Analytics and click through each page to ensure they load correctly
5. Expand Integrations to confirm remaining content is intact

Notes

• File paths remain unchanged (still in ./pages/integrations/analytics/)
• Tested locally with fern docs dev - all pages render correctly
• Requested by Kapil Gowru (kapil@buildwithfern.com, @kgowru)
• Link to Devin run: https://app.devin.ai/sessions/2d13d92b0f4c4d15a73d87b54fb8de07

[devin-ai-integration]

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