tests_changes_from_Alperen012

[Nayjest]

Moved this changes from #166 to consider later.
It requires some research.

[github-actions]

I've Reviewed the Code

The workflow changes simplify the coverage badge commit logic to only run on push events and improve branch handling robustness, while also adding a fallback for the checkout ref to support both pull request and push event contexts.

✅ No issues found in 1 file

[Nayjest]

@Alperen012 Meanwhile, I'll roll back this changes in your original PR and accept and merge only the installer-related ones.