At the time the corporate existence of such state bank begins all the property of the former national banking corporation or state banking corporation, including all of its right, title, and interest in and to all property of whatsoever kind, whether real, personal or mixed, and things in action and every right, privilege, interest, and asset of any conceivable value or benefit then existing, belonging, or appertaining to it or which would inure to it shall immediately by act of law and without any conveyance or transfer and without any further act or deed be vested in and become the property of such state bank, which shall have, hold, and enjoy them in its own right as fully and to the same extent as they were possessed, held, and enjoyed by the national banking corporation or state banking corporation. The State bank shall be deemed to be a continuation of the entity and of the identity of the national banking corporation or state banking corporation operating under and pursuant to the laws of this State, and all the rights, obligation, and relations of the national banking corporation or state banking corporation to or in respect to any person, estate, creditor, depositor, trustee, or beneficiary of any trust and in or in respect to any executorship or trusteeship or other trust or fiduciary function shall remain unimpaired, and such state bank, as of the beginning of its corporate existence, shall by operation of this section succeed to all such rights, obligations, relations, and trust and the duties and liabilities connected therewith and shall execute and perform each and every such trust or relation in the same manner as if such state bank had itself assumed the trust or relation, including the obligations and liabilities connected therewith. If such national banking corporation or such state banking corporation is acting as administrator, coadministrator, executor, coexecutor, or cotrustee of or in respect to any estate or trust being administered under the laws of this State such relation, as well as any other similar fiduciary relation, and all rights, privileges, duties, and obligations connected therewith shall remain unimpaired and shall continue into and in the state bank, from and as of the beginning of its corporate existence, irrespective of the date when such relation may have been created or established and irrespective of the date of any trust agreement relating thereto or the date of the death of any testator or decedent whose estate is being so administered. Neither the act of the national banking corporation or state banking corporation, under § 34-3-810 in fixing the date of or providing for its liquidation or dissolution, nor its liquidation or dissolution under the national banking laws or other state banking laws, nor any other thing done in connection with the change from a national bank or other state bank to a state bank shall, in respect to any such executorship, trusteeship, or similar fiduciary relation, be deemed to be or to effect, under the laws of this State, a renunciation or revocation of any letters of administration or letters testamentary to such relation, nor a removal or resignation for any such executorship or trusteeship, nor shall they be deemed to be of the same effect as if the executor or trustee had died or otherwise become incompetent to act.