Exclude/remove a classification attribute on Criteria options on Advanced Search dialog

Version: Windchill 12.0

Use Case: Start an advanced classification search - Open Advanced Search page - Under Type, select a classification type. - Under Classification field, specify a classification node (a classification binding attribute) - Now the Criteria options updates and all corresponding classification attributes are available as Criteria conditions

Description:

Please do the steps described in the Use Case.

What I want to achieve here at this point is to exclude/remove a specific classification attribute so that the user cannot add it as a Criteria condition.

How can I do that in Windchill? Is that possible at all?

Thank you in advance!