(a) Presentation of a claim pursuant to Part 3 (commencing with Section 900) of Division 3.6 of Title 1 of the Government Code is not required to commence a legal action or arbitration proceeding for money or damages on a contract with the state, but any action or proceeding shall be commenced not later than six months after either of the following:
(1) The contracting agency’s final written decision under contract claim provisions.
(2) The accrual of the cause of action, if there are no contract claim provisions.
(b) This section shall not apply to a claim that is subject to the provisions of Section 10240.1.