A custodianship conducted by an appointed custodian under Rule 13.04 shall terminate upon one or more of the following events:
In the event there is disagreement about whether the appointing attorney is competent to resume representation of a client matter upon return to the practice, either the appointed custodian or the appointing attorney may petition for a determination and order of a court under Rules 13.02 and 13.03 concerning the resumption of the practice by the appointing attorney and termination of the custodianship. An appointed custodian may also petition the court for an order concerning the proper disposition of dormant or closed client files, distribution of active files for which a client is nonresponsive or cannot be located, and for proper distribution of any client property or other property being held pursuant to a representation by the appointing attorney, including client funds held in an IOLTA account.
Tex. R. Disc. P. 13.05