Chore(CI): trigger auto-release only on 'game' branch pushes

[Rushaway]

Description

Update CI to only rigger auto-release only on 'game' branch pushes

Motivation and Context

Make it easier to track plugins update for sbpp users

How Has This Been Tested?

Tested with tons of push on my test repo

Screenshots (if appropriate):

Types of changes

• [ ] Bug fix (non-breaking change which fixes an issue)
• [x] New feature (non-breaking change which adds functionality)
• [ ] Breaking change (fix or feature that would cause existing functionality to change)

Checklist:

• [x] My code follows the code style of this project.
• [ ] My change requires a change to the documentation.
• [x] I have updated the documentation accordingly.
• [ ] I have read the CONTRIBUTING document.