according to your current situation, you can't apply for trademark registration, because the current trademark registration requires a copy of the business license as the application certificate.

the team logo suggests applying for copyright registration.

If it is graphic, provide pictures, creative process, representative meaning, etc., or your team name creative ideas.

works of citizens, legal persons or other organizations in China, whether published or not, enjoy copyright in accordance with this law.

the speed of copyright application is fast, and the protection authority is relatively wide and the time is relatively long.