Copilot/remove fastmcp dependency

[bjoernbethge]

Description

Type of Change

• 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 not work as expected)
• Documentation update
• Performance improvement
• Code refactoring (no functional changes)
• Dependencies update

Related Issues

Fixes #

Testing

• Tests pass locally (uv run pytest)
• Linting passes (uv run ruff check src/ test/)
• Type checking passes (uv run mypy src/)

Checklist

• My code follows the project's coding style
• I have added/updated docstrings for new/modified functions
• I have added tests that prove my fix/feature works
• New and existing tests pass locally
• I have updated the documentation if necessary
• My changes generate no new warnings