HDL to update Assignment Flexfield Context Segment Prompt LOV

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Hi - I am able to update the global segment Assignment DFF values and Context sensitive segment values based on the Context selected using HDL (Worker.dat).

However, I'm looking at an HDL solution to update the context values for our Assignment context segment.

Example: The "Prompt" name for our Assignment context segment is "Work From" and the display type is "List of Values". The Context values are "Office Location", "Client Location" and "Work From Home".

I can only find information on the process to update context sensitive segments, but not the context value itself.

Is there a way to upload the context values in the Employment Details (Person Management) using HDL ?