(a) A personal representative, other than an executor described by Subsection (b), is considered to have qualified when the representative has:
(1) taken and filed the oath prescribed by Subchapter B or made, signed, and filed the declaration prescribed by Subchapter B;
(2) filed the required bond with the clerk; and
(3) obtained the judge's approval of the bond.
(b) An executor who is not required to give a bond is considered to have qualified when the executor has taken and filed the oath prescribed by Subchapter B or made, signed, and filed the declaration prescribed by Subchapter B.