Start by classifying the draft
Three questions decide everything. Does the draft contain personal data, a client's confidential material or an unreleased business fact? If yes to any, the content cannot be uploaded to a service that keeps a copy.
The classification should be explicit and recorded, because the failure mode is not a policy gap. It is a well-meaning person pasting the wrong document into the wrong tab at 11pm.
Once the draft is classified as internal or confidential, the workflow below applies unchanged, which is the point: no special procedure, just a check that does not need the file.