Perform an action on a specific weekday after the event date (move item on the following Saturday)

I want to setup an automation/workflow that moves an Item from one Group to another on the same Board on a specific day of the week following a date in a “date” column.
Specifically, if the due date was any day this week, on the Saturday following the Due Date, I want to move the item from the “This Week” Group to the “Previous Weeks” Group.
I’ve found how to move a specific number of days after the Due Date, but can’t figure out how to adapt that to a certain day of the week (to be the same every week).