(2) the term “banking institution” means— (A) (i) an insured bank as defined in section 1813(h) of this title or any subsidiary of an insured bank; (ii) an Edge Act corporation organized under section 25(a) 1 of the Federal Reserve Act [ 12 U.S.C. 611 et seq.]; and (iii) an Agreement Corporation operating under section 25 of the Federal Reserve Act [ 12 U.S.C. 601 et seq.]; and (B) to the extent determined by the appropriate Federal banking agency, any agency or branch of a foreign bank, and any commercial lending company owned or controlled by one or more foreign banks or companies that control a foreign bank as those terms are defined in the International Banking Act of 1978 [ 12 U.S.C. 3101 et seq.]. The term “banking institution” shall not include a foreign bank.