If you intend to register a logo as a trademark, using fully AI-generated output as-is is a risky choice, and it carries two separate problems.
The first is copyright: in many countries, including Turkey, works without human creative input cannot be copyrighted. You can use your logo, but the legal ground for stopping someone else from using the same mark is weaker.
The second is similarity: because models are trained on existing imagery, the chance that your generated logo resembles a registered mark is not zero. Running a similarity search before filing matters even more for AI-generated logos.
The practical, defensible route: use AI at the idea stage, have a human produce the final drawing, and document that process. That way there is human creative contribution and a record of how it happened.