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Question:
I have created a Test Data on Demand (TDoD) form. All the fields have a refresh button next to them. Is it possible to not display the button for certain fields?

Answer:
It is not possible to configure TDoD so that it does not display the refresh button for certain fields on the form, as that is the default behavior based on dependencies.
TDM Portal Tester Self-Service feature (TDM 3.6 and higher) handles dependencies better and it auto-refreshes the required values as applicable.