[Feature]: Add unit testing project

[thirstyape]

Priority

P3 - Normal

Problem Statement

Add a project that uses xUnit to test the other NuGet package projects in the library. Ensure all loggers are testable, consider adding a SQLite logger and tester for database logging tests (separate issue).

Proposed Solution (optional)

No response

Acceptance Criteria

• Create unit testing project with xUnit
• Add tests for all logging endpoints
• Ensure tests pass

Notes / References (optional)

No response