According to Article 25 of the "Patent Law":
Patent rights are not granted for the following items:
1. Scientific discovery
2. Rules and methods of intellectual activities
3. Diagnosis and treatment methods of diseases
4. Animal and plant species
5. Substances obtained by nuclear transformation methods
6. Designs based on flat printed patterns, colors, or a combination of the two that serve primarily as logos.
The new way of playing Go mentioned by the poster is an intellectual activity, so it cannot be patented.
What you said above is good
Of course, you can change this Go game and give it a different name instead of Go game, and then you can apply