The commission shall not take jurisdiction of any claim, whether accruing before or after the effective date of this article (July 1, 1967), unless notice of such claim be filed with the clerk within such period of limitation as would be applicable under the pertinent provisions of the Code of West Virginia, 1931, as amended, if the claim were against a private person, firm or corporation and the Constitutional immunity of the state from suit were not involved and such period of limitation may not be waived or extended. The foregoing provision shall not be held to limit or restrict the right of any person, firm or corporation who or which had a claim against the state or any state agency, pending before the Attorney General on the effective date of this article (July 1, 1967), from presenting such claim to the West Virginia Legislative Claims Commission, nor shall it limit or restrict the right to file such a claim which was, on the effective date of this article (July 1, 1967), pending in any court of record as a legal claim and which, after such date was or may be adjudicated in such court to be invalid as a claim against the state because of the Constitutional immunity of the state from suit.