How can I assign call data during a make request using the Finesse API?

Starting Finesse 10.5 for a UCCE deployment, the Dialog - Create a New Dialog (Make a Call) REST API allows the assignment of call data for call variable 1 through call variable 10 and ECC variables. You cannot pass BA variables or wrap-up reasons with the request.

For Finesse with a UCCX deployment, Finesse does not support assigning a value to a call variable(s) on the MAKE_CALL request. If you supply the mediaProperties parameter with a MAKE_CALL request in a Unified CCX deployment, Finesse returns a 400 Invalid Input error. Call variable data can only be set after the call is placed and 'UPDATE_CALL_DATA' is listed under the participant's allowable action for that dialog.