User is trying to update a time entry using the PUT and PATCH methods but receives a 409 error in both cases:
The data submitted for the update is outdated.
This can happen if the version property you send in the PUT or PATCH request body does not match the latest value from the object. Every time you update an object, its version also updates, so you need to make sure that you are using the latest value in the request body.
Check out API Documentation for details about the PUT and PATCH methods.