(a) Statement of Costs. The appellate clerk must prepare, and send to the trial court clerk with the mandate, a statement of costs showing:
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(1) the preparation costs for the appellate record, and any court of appeals filing fees, with a notation of those items that have been paid and those that are owing; and
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(2) the party or parties against whom costs have been adjudged.
(b) Enforcement of Judgment. When the trial court clerk receives the mandate, the appellate court’s judgment must be enforced. Appellate court costs must be included with the trial court costs in any process to enforce the judgment. If all or part of the costs are collected, the trial court clerk must immediately remit to the appellate court clerk any amount due to that clerk. The trial court need not make any further order in the case, and the appellate court’s judgment may be enforced as in other cases, when the appellate judgment:
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(1) affirms the trial court's judgment;
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(2) modifies the trial court's judgment and, as so modified, affirms that judgment; or
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(3) renders the judgment the trial court should have rendered.