The Standardize CI (tier: unimportant) has been adding pkgdown actions to private repos

[aylapear]

• Private repos should not have a public website so they shouldn't have a pkgdown action.
• Our current pkgdown actions in this will deploy if the right settings are ticked in the repo settings, for example I found 1 repo that had a deployed public repo that was a private internal package.
• If the deploy branch isn't set then the public website won't deploy and thus is just a waste of action minutes as well as confusing.

I would recommend that private repos do not get the pkgdown action. Unsure of how to make sure this is enforce when these batch standardized CI PRs go out.