(c) The State has a charge for the amount of compensation paid under this Act upon all claims or causes of action against an assailant and any other party to recover for the injuries or death of a victim which were the basis for that payment of compensation. At the time compensation is ordered to be paid under this Act, the Court of Claims shall give written notice of this charge to the applicant. The charge attaches to any verdict or judgment entered and to any money or property which is recovered on account of the claim or cause of action against the assailant or any other party after the notice is given. On petition filed by the Attorney General on behalf of the State or by the applicant, the circuit court, on written notice to all interested parties, shall adjudicate the right of the parties and enforce the charge. This subsection does not affect the priority of a lien under "AN ACT creating attorney's lien and for enforcement of same", filed June 16, 1909, as amended. Only the Court of Claims may reduce the State's lien under this Act. The Court of Claims may consider the nature and extent of the injury, economic loss, settlements, hospital costs, physician costs, attorney's fees and costs, and all other appropriate costs. The burden of producing evidence sufficient to support the exercise by the Court of Claims of its discretion to reduce the amount of a proven charge sought to be enforced against the recovery shall rest with the party seeking such reduction. The charges of the State described in this Section, however, shall take priority over all other liens and charges existing under the laws of the State of Illinois.