This Part applies where:
(a) costs are payable to a solicitor by his client, whether or not in respect of a proceeding in the Court, and by or under an Act, these Rules or an order of the Court or an agreement between the solicitor and the client the costs are required or permitted to be taxed in the Court; or
(b) a person not the client of a solicitor is liable to pay or, having been so liable, has paid costs which are or were chargeable by the solicitor to the client, whether or not in respect of a proceeding in the Court, and by or under an Act, these Rules or an order of the Court or an agreement between the person and the client the costs are required or permitted to be taxed in the Court,
but applies to the extent only that it does not conflict with Part 3.3 of the Legal Profession Act 2006 or any other law in force in the Territory.