(a) If a provider submits a claim for reimbursement to a liable third party as an agent of the department, such liable third party is directed to make payment to the provider submitting the claim. Such provider is authorized to submit with, or notate upon, its claim the following statement:

(b) Instead of submitting the notice described in subdivision (a) of this section, a provider may submit with its claim any form supplied or prescribed by the department, a social services district or a social services official which indicates that the provider is acting as agent for the department, a social services district or a social services official.