(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. (1) The contracting agency’s final written decision under contract claim provisions.
2. (2) The accrual of the cause of action, if there are no contract claim provisions.