Prepare new content regarding Vercel's AI SDK integration

[TC-MO]

Description

We need to create comprehensive documentation showing how to integrate Apify's MCP server with Vercel's AI SDK. This documentation will be used to submit Apify's MCP server as a tool to Vercel's official documentation, and will also serve our users who want to build custom AI applications using our MCP server.

We have existing MCP documentation but it's not sufficient for AI SDK integration

• Vercel requires proper documentation for tools to be included in their official docs

Proposed Solutions

Option 1: Extend Existing MCP Documentation

Location: Add new section to existing MCP docs
Pros: Quick implementation, maintains content cohesion
Cons: May not provide sufficient depth for complex integrations

Option 2: Create Dedicated Integration Page

Location: New page under under Integrations section, or perhaps turn MCP into section
Pros: Comprehensive coverage, better discoverability
Cons: Adds documentation complexity, requires navigation updates

Recommended Approach

Option 2 - Create a dedicated page for the following reasons:

• Provides space for comprehensive examples and use cases
• Better SEO and discoverability for AI SDK users
• Allows for future expansions

[vystrcild]

Hey, here's Slack thread where we discussed that maybe we need some simple TS wrapper library first before any docs content: https://apify.slack.com/archives/C04URRT3934/p1756889242685179

[jirispilka]

FYI @mtrunkat

[jirispilka]

We can close this issue as the doc was published: https://docs.apify.com/platform/integrations/vercel-ai-sdk

We need to create PR at Vercel, more info: https://github.com/apify/ai-team/issues/99

Closed in #2021