In accordance with s. 102.03 (2), for an inmate of a state institution or a resident subject to s. 303.01 (1)
(b) employed under s. 303.06 (2), compensation under ch. 102 on being released from the applicable institution, on parole, on extended supervision, on final discharge or in accordance with ch. 938, whichever is applicable, is the exclusive remedy against the department and any employee of the department for any injury sustained by the inmate or resident while performing service growing out of and incidental to that employment. The department shall make any payments required under this section from the revolving appropriation for the operation of prison industries or, if there is no revolving appropriation for the operation of prison industries, from the general fund.