Can Emacs be set to auto-stage (preferably with --intent-to-add) new files?

I often add a new file to a repo, make some other changes, then stage all, and commit all, forgetting that the new file is not yet tracked, so is not included in the stage all step. At least one editor (IntelliJ) has an option to auto-stage new files, which would be very helpful to me in Emacs. I guess this would be particularly helpful if it invoked –intent-to-add.

Is this feature present in magit or built-in in Emacs?

If not, I’d be interested in writing some elisp. Is there a hook run when magit sees a new untracked file, or would I have to add to the after-save-hook and query the git status?