docs: add Bright Data to tools registry and toolset docs

[meirk-brd]

Background

The AI SDK tools registry and the toolsets section of the foundations docs did not include Bright Data, despite @brightdata/ai-sdk being a published npm package that integrates directly with the AI SDK. Bright Data is a widely used web data platform with built-in anti-bot bypass, making it particularly relevant for agentic use cases that require reliable access to live web data.

Summary

• Added @brightdata/ai-sdk to content/tools-registry/registry.ts with a full entry: slug, name, description, package name, tags (search, scrape, extract, crawl), BRIGHTDATA_API_KEY env var, install commands for all package managers, a code example using generateText with scrape() and search() tools, and links to docs, API key signup, website, and npm.
• Updated content/docs/02-foundations/04-tools.mdx to include @brightdata/ai-sdk in the "Ready-to-Use Tool Packages" list with a short description.

Checklist

• Tests have been added / updated (for bug fixes / features)
• Documentation has been added / updated (for bug fixes / features)
• A patch changeset for relevant packages has been added (for bug fixes / features - run pnpm changeset in the project root)
• I have reviewed this pull request (self-review)

[meirk-brd]

Hi @aayush-kapoor ,

Can you please review this PR ?

Thanks !

[meirk-brd]

Hi @felixarntz @gr2m ,

Can you please help with assigning someone to review this PR and merge it ?

Thanks !