How to Submit a Timesheet on Behalf of Another User in Project Online using API?

I develop a flow that once a week submit timesheets for all users.

Is there a way to submit a timesheet on behalf of another user?

I have tried the endpoint: _api/ProjectServer/TimeSheetPeriods('periodid')/TimeSheet

However, it works only in the current user's context. When I run a Power Automate flow as an Admin, the flow can only see the Admin's timesheets.

Could you please advise how I can submit a timesheet for another user?