An integrated care network shall contract with any willing nursing home, doctor, home and community waiver program, or other provider to provide services through an integrated care network if the provider is willing to accept the payments and terms offered comparable providers, where applicable, but in no event less than amounts historically paid by the Medicaid Agency to comparable providers. To the extent that the Medicaid Agency currently calculates and establishes provider-specific rates for any provider category on an annualized basis, it shall continue to calculate and establish such rates and the integrated care network shall be required to offer providers from that category not less than their established rates. Any provider shall meet licensing requirements set by law, shall have a Medicaid provider number, and shall not otherwise be disqualified from participating in Medicare or Medicaid.