chore: remove example configuration files

[hrntknr]

Summary

Remove example configuration files that are no longer needed:

• example/.env.example
• example/.mcp.json
• example/docker-compose.yaml

Type of Change

• chore: Other changes that don't modify src or test files

Related Issues

[Copilot]

Pull Request Overview

This PR removes example configuration files that are no longer needed from the project. The changes clean up the repository by removing outdated example files.

• Removes Docker Compose configuration example
• Removes MCP server configuration example
• Removes environment variables example file

Reviewed Changes

Copilot reviewed 3 out of 3 changed files in this pull request and generated no comments.

File	Description
example/docker-compose.yaml	Removes Docker Compose configuration for mcp-auth-proxy and playwright services
example/.mcp.json	Removes MCP server configuration example with test server setup
example/.env.example	Removes environment variables template with Google OAuth and password authentication examples

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