Deleting a file from a submission using the API

I have need to programmatically delete a file from a form submission. The file must be completely deleted from Formstack's systems.

What is the accepted method for performing this task?

Currently, I have found some success with a PUT request to the /submission/:id endpoint. Sending an empty string payload to field_x results in the file disappearing from the submission admin UI. The download link to that file also breaks.

However, due to the lack of documentation on the matter, I am not sure if my solution is actually deleting the file from Formstack's systems.

Any advice on the matter would be greatly appreciated.