Can I used PATs for the GITHUB_TOKEN to create protected tags

[hofbi]

Describe the bug

Tag creation using this action fails for protected tags due to permission issues.

To Reproduce
Steps to reproduce the behavior:

1. Create a tag protection rule
2. Try to create this protected tag with this action while setting the github_token with a personal access token that has the required permissions.

Expected behavior
The tag would be created

Additional context
This is only half a bug report. First of all, I want to understand if this is supported at all.