Add to LLM dropdown MCP tools for documentation

Once implemented the https://github.com/apify/apify-mcp-server/issues/332, we will add MCP documentation tooling to the API dropdown in the documentation, similar to the following screen:

<img width="200" height="300" alt="Image" src="https://github.com/user-attachments/assets/3f885818-c057-4640-a187-c8e054b0ed5c" />