It is not part of the current out-of-the-box ActiveControl / ServiceNow integraiton to update Business Tasks based on updates to the corresponding ServiceNow ticket.
It is possible to do this via an extension to the plug-in – this has been done by another customer so that a Business Task custom field could get updated as the corresponding ServiceNow ticket reached certain conditions.
Some information on this topic can be found in this online Change Note.
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