Republicans would accept a “mini” deal with the Obama administration on raising the debt limit, Senator John Cornyn of Texas, a Republican leader, said. Cornyn said today on “Fox News Sunday” that while Republicans would prefer a long-term settlement, they would accept a shorter-term agreement if that’s all they could get done. The U.S. Treasury Department has projected that on Aug. 2 the U.S. will no longer be able to meet obligations if the legal debt ceiling isn’t raised.