(3) If evidence of health insurance coverage for the patient is not documented or if evidence of health insurance coverage is documented but the patient's health insurance coverage is unlikely to provide payment in full for the patient's account at the hospital, the designated hospital employee shall make an initial determination of whether the patient is eligible for participation in a public assistance program. If the employee concludes that the patient may be eligible for a public assistance program, the employee shall so advise the patient, family member, responsible party or guardian, as appropriate. The employee, either directly or through the hospital's social services office, shall give the patient, family member, responsible party or guardian, as appropriate, the name, address and phone number of the public assistance office that can assist in enrolling the patient in the program. The employee, or the social services office of the hospital, shall also advise the public assistance office of the patient's possible eligibility, including possible retroactive or presumptive eligibility, for the program. Notwithstanding the provisions of this paragraph to the contrary, if a county welfare agency employee is assigned to the hospital pursuant to section 9 of P.L. 1991, c.187 (C.26:2H-18.32) the designated hospital employee shall refer the patient, family member, responsible party or guardian, as appropriate, to the county welfare agency employee who shall determine if the patient is eligible for Medicaid.