British Airways will get 32 new Boeing planes, in a deal worth nearly $13 billion, its parent company announced on Friday, a day after U.S. officials teased a big order was coming for America’s largest plane maker. IAG, which owns British Airways and other European airlines, said it had ordered the Boeing aircraft as well as 21 planes from Airbus, a French aerospace company, to be delivered between 2028 and 2033. The announcement came after Howard Lutnick, the U.S. commerce secretary, said Thursday that Britain would buy $10 billion worth of Boeing planes as he announced details of what he called a “strong” trade deal between the two countries. The plane order, however, is a commercial agreement and not part of the governments’ trade deal. Mr. Lutnick also said the United States would scrap tariffs on jet engines and other parts from Rolls-Royce, a British company, although the arrangement was not included in the documents published on Thursday by the U.S. and British governments.