Wyo. Stat. § 1-39-116: Exclusiveness of remedy.

(a) The remedy against a governmental entity as provided by this act is exclusive, and no other claim, civil action or proceeding for damages, by reason of the same transaction or occurrence which was the subject matter of the original claim, civil action or proceeding may be brought against the governmental entity. No rights of a governmental entity to contribution, indemnity or subrogation shall be impaired by this section. Nothing in this section prohibits any proceedings for mandamus, prohibition, habeas corpus, injunction or quo warranto.

(b) The judgment in an action or a settlement under this act constitutes a complete bar to any action by the claimant, by reason of the same transaction or occurrence which was the subject matter of the original suit or claim, against the governmental entity or the public employee whose negligence gave rise to the claim.