implement mcp logging

[antholeole]

Description

Add MCP logging to the MCP server

[gemini-code-assist]

Summary of Changes

Hello @antholeole, I'm Gemini Code Assist¹! I'm currently reviewing this pull request and will post my feedback shortly. In the meantime, here's a summary to help you and other reviewers quickly get up to speed!

This pull request enhances the Model Context Protocol (MCP) server by integrating comprehensive logging capabilities. It allows the server to emit structured log messages at various levels and provides a mechanism for clients to control the server's logging verbosity, improving observability and debugging within the MCP ecosystem.

Highlights

• New Logging Capabilities: Introduced LoggingLevel and SetLevelRequestSchema types from the MCP SDK to support structured logging.
• Log Level Management: Defined an orderedLogLevels constant and added a currentLogLevel property to the FirebaseMcpServer to manage the server's logging verbosity.
• Logger API: Implemented a logger property on the FirebaseMcpServer class, providing a convenient API (e.g., server.logger.info('message')) for sending log messages at various levels.
• MCP Server Integration: Registered 'logging' as a capability with the MCP server and added a request handler for SetLevelRequestSchema to allow clients to dynamically adjust the server's logging level.
• Structured Logging Implementation: Added a private log method that formats string messages into JSON objects (as required by the MCP protocol) and applies log level filtering before sending messages via this.server.sendLoggingMessage.

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[gemini-code-assist]

Code Review

This pull request adds MCP logging capabilities to the server, including a logger interface, handling for setting the log level, and sending log messages to the client. The implementation is generally well-structured, but I found a critical issue in the log level filtering logic which causes it to filter messages incorrectly. I've provided a suggestion to fix this.