Wis. Stat. § 775.04: Judgment, how paid.

No execution shall issue against the state on any judgment, but whenever a final judgment against the state shall have been obtained in any such action the clerk shall make and furnish to the department of administration a duly certified transcript of such judgment; and the department of administration shall thereupon audit the amount of damages and costs therein awarded, and the same shall be paid out of the state treasury.