docs: Add SearchBar component documentation

[devin-ai-integration]

docs: Add SearchBar component documentation

Summary

Added comprehensive documentation for the <SearchBar> component, which renders a search button that opens the documentation's search dialog. This component is particularly useful for landing pages where you want to provide prominent search access.

Changes:

• Created new documentation page at fern/products/docs/pages/component-library/default-components/search-bar.mdx
• Added SearchBar to the component library navigation in docs.yml (positioned alphabetically between "Runnable endpoint" and "Step")
• Documented three main properties: placeholder, disabled, and lang
• Included usage examples, variants, and use cases (especially for landing pages)

Review & Testing Checklist for Human

This is a yellow risk PR (documentation only, but component behavior needs verification):

• Test the SearchBar component on a landing page - Verify it actually renders and opens the search dialog when clicked
• Verify all documented props work correctly - Test placeholder, disabled, and lang props to ensure they behave as documented
• Check the component examples render properly - View the documentation page in preview to ensure all code examples and live demos display correctly

Test Plan

1. Deploy a preview of the docs
2. Navigate to /learn/docs/component-library/default-components/search-bar
3. Verify the live SearchBar examples in the "Usage" and "Variants" sections work as expected
4. Test the component on a landing page using the example code from the "Use cases" section

Notes

• I was unable to access the PerimeterX example referenced in the original request (GitHub returned 404), so I based the documentation on examining the SearchV2Trigger component implementation in the fern-platform codebase
• The component is mapped to SearchV2Trigger in the MDX components registry (packages/fern-docs/bundle/src/mdx/components/index.tsx)
• Documentation follows the same format and style as other component docs (Button, Card, etc.)
• Used plant-themed examples per the documentation guidelines

Session info:

• Devin session: https://app.devin.ai/sessions/6abf1f15ee804797a69f3224f8784bdb
• Requested by: [email protected] (@jon-fern)

[github-actions]

📝 [vale] _{reported by reviewdog 🐶}
[FernStyles.Adverbs] Remove 'quickly' if it's not important to the meaning of the statement.

[github-actions]

🚫 [vale] _{reported by reviewdog 🐶}
[Microsoft.Contractions] Use 'can't' instead of 'cannot'.

[devin-ai-integration]

🤖 Devin AI Engineer

I'll be helping with this pull request! Here's what you should know:

✅ I will automatically:

• Address comments on this PR. Add '(aside)' to your comment to have me ignore it.
• Look at CI failures and help fix them

Note: I can only respond to comments from users who have write access to this repository.

⚙️ Control Options:

• Disable automatic comment and CI monitoring