Add official Burp Suite MCP server extension to servers list

[danielgallen]

Description

Add the official Burp Suite MCP server extension to the servers list.

Motivation and Context

Updating the official integrations list.

How Has This Been Tested?

This MCP was tested with Claude Desktop and Claude code

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Documentation update

Checklist

• I have read the MCP Protocol Documentation
• My changes follows MCP security best practices
• I have updated the server's README accordingly
• I have tested this with an LLM client
• My code follows the repository's style guidelines
• New and existing tests pass locally
• I have added appropriate error handling
• I have documented all environment variables and configuration options