Dogs or cats passing through the State of New York to points beyond, dogs or cats which are brought into the State of New York for temporary residence for purposes of exhibition, and dogs or cats which enter the State of New York for delivery to research institutions, dealers or other persons registered or licensed and regulated by the United States Department of Agriculture pursuant to the provisions of U.S. Public Law 89-544, as amended, are exempt from the provisions of this Part, provided that such dogs or cats are at all times properly restrained and under the immediate control of the owner or custodian; that such dogs or cats are accompanied with proof of proper immunization against rabies; and that those dogs or cats entering the State of New York pursuant to U.S. Public Law 89-544, as amended, remain subject to its provisions.