Tex. R. App. P. 41.1

As amended through February 20, 2024
Rule 41.1 - Decision by Panel
(a)Constitution of Panel. Unless a court of appeals with more than three justices votes to decide a case en banc, a case must be assigned for decision to a panel of the court consisting of three justices, although not every member of the panel must be present for argument. If the case is decided without argument, three justices must participate in the decision. A majority of the panel, which constitutes a quorum, must agree on the judgment. Except as otherwise provided in these rules, a panel's opinion constitutes the court's opinion, and the court must render a judgment in accordance with the panel opinion.
(b)When Panel Cannot Agree on Judgment. After argument, if for any reason a member of the panel cannot participate in deciding a case, the case may be decided by the two remaining justices. If they cannot agree on a judgment, the chief justice of the court of appeals must:
(1) designate another justice of the court to sit on the panel to consider the case;
(2) request the Chief Justice of the Supreme Court to temporarily assign an eligible justice or judge to sit on the panel to consider the case; or
(3) convene the court en banc to consider the case. The reconstituted panel or the en banc court may order the case reargued.
(c)When Court Cannot Agree on Judgment. After argument, if for any reason a member of a court consisting of only three justices cannot participate in deciding a case, the case may be decided by the two remaining justices. If they cannot agree on a judgment, that fact must be certified to the Chief Justice of the Supreme Court. The Chief Justice may then temporarily assign an eligible justice or judge to sit with the court of appeals to consider the case. The reconstituted court may order the case reargued.

Tex. R. App. P. 41.1