“State agency” means (1) the agency of State government, including the local offices thereof, which has the responsibility for the administration of the federally aided public assistance programs within such State, and in those States where such assistance programs are operated on a decentralized basis, the term shall include the counterpart local agencies administering such programs, and (2) the tribal organization of an Indian tribe determined by the Secretary to be capable of effectively administering a food distribution program under section 2013(b) of this title or a supplemental nutrition assistance program under section 2020(d) of this title .