CI: Publish docs job fails with "Permission denied"

[ValuedMammal]

It has happened on recent merge commits, for example https://github.com/bitcoindevkit/bdk/actions/runs/13436622922 and likely has something to do with #1778.

[Musab1258]

Hi @ValuedMammal, I created a pull request to resolve this issue. Here is the PR #1895. Can you please help me take a look at it.

[ValuedMammal]

@Musab1258 I'm not totally sure but I'd be willing to try out the fix in #1895.