Texas Government Code - GOV'T § 403.208. Protest Payments During Appeal

(a) If the state or the person who brought the suit appeals the judgment of a trial court in a suit authorized by this subchapter, the person who brought the suit shall continue to pay additional taxes or fees under protest as the taxes or fees become due during the appeal.

(b) Additional taxes or fees that are paid under protest during the appeal of the suit are governed by the outcome of the suit without the necessity of the person filing an additional suit for the additional taxes or fees.