Adopt telemetry and observability features from SDK v0.6

[jongalloway]

Overview

Leverage improved telemetry and observability features from MCP C# SDK v0.6.0-preview.1.

New SDK Features

Request Duration Logging (#1092)

Log messages now include request duration for LogRequestHandlerCompleted and LogRequestHandlerException, enabling better performance diagnostics.

OpenTelemetry Semantic Conventions (#1139)

Telemetry is now aligned with OpenTelemetry MCP semantic conventions, enabling standardized observability.

Tasks

• Review current logging configuration in the server
• Evaluate enabling structured logging for performance metrics
• Consider adding OpenTelemetry instrumentation for:
  • Tool execution times
  • Resource access patterns
  • Error rates by tool/operation
• Update doc/performance-baseline.md with telemetry-based metrics if applicable
• Document how to enable/configure telemetry for users

Benefits

• Better visibility into tool performance
• Standardized metrics compatible with OpenTelemetry ecosystem
• Easier debugging of slow or failing operations

Parent Issue

Part of #322