(e) No action against the superintendent, his or her deputies, special deputies, attorneys, agents or employees, or against a banking organization whose business and property have been taken over by him or her, with respect to any matter arising out of the liquidation, administration, distribution or other disposition by or on behalf of the superintendent
- (i) of the estate of such banking organization, or
- (ii) of money or property in its possession or under its control as executor, administrator, trustee, guardian, committee, conservator, or other fiduciary capacity, or as bailee, pledgee, depository, agent or otherwise, or
- (iii) of money or property in or removed from a safe, vault or box of which it is or was the lessor, shall be commenced subsequent to either (a) three years after the accrual of such cause of action, or (b) the expiration of such period of limitation as may be otherwise applicable thereto under the provisions of any other statute, whichever period is shorter. A cause of action shall be deemed to accrue within the meaning of this paragraph, when the facts upon which such cause of action is based come into existence. Nothing in this paragraph shall be deemed to extend or otherwise affect the period of limitation in section six hundred twenty-five of this article provided with respect to claims or causes of action therein referred to.