When someone declines a notice, it registers as a response, which means they won't automatically receive it if you re-issue the prompt. If you try to create a brand-new notice for the same content item, it will be flagged as a duplicate and prompt you to edit the original notice instead.
To send the notice back to someone who declined it, you can publish a new version of the content item. We recommend giving this version a slightly different title so it’s easy to distinguish in the object picker and for auditing. To keep things clean and ensure other team members don't see it, create this new version inside a restricted folder accessible only to the user or group who needs to receive the notice again.
Alternatively, you can publish the new version to the same location as the original content and adjust its custom security settings during publishing so that only specific people have permission to view it.