Thanks to this discussion and the subsequent PR, we are now able to publish Homebrew Casks.
https://github.com/orgs/goreleaser/discussions/5563

However, as mentioned in this issue, when distributing private Casks on GitHub, it's necessary to add a specific header to the url.

The Cask specification allows for several additional parameters to be specified in the url to accommodate such use cases.
Ref: https://docs.brew.sh/Cask-Cookbook#additional-url-parameters

Currently, the GoReleaser template does not allow these parameters to be specified, so I would like to make changes to enable this.