fix: fastmcp debug logging

[micpst]

Fixes server crash when setting up the debug logging.

Motivation and Context

FastMCP crashes when I set log level to DEBUG. Turns out there's a spot in the code where it overwrites the LoggerRecord name attribute, which happens to be a reserved keyword - https://docs.python.org/3/library/logging.html#logrecord-attributes.

How Has This Been Tested?

Tried running the MCP server with the log level set to DEBUG.

app = FastMCP("Demo", log_level="DEBUG")

Breaking Changes

None

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 Documentation
• My code follows the repository's style guidelines
• New and existing tests pass locally
• I have added appropriate error handling
• I have added or updated documentation as needed