Since the summer of 2011, the insurance giant American International Group has been battling Bank of America over claims that the bank packaged and sold it defective mortgages that dealt AIG billions of dollars in losses, the New York Times reported today. Now AIG wants to be able to sue other banks that sold it mortgage-backed securities that plunged in value during the financial crisis. It has not said which banks, but possibilities include Deutsche Bank, Goldman Sachs and JPMorgan Chase. But to sue, AIG first must win a court fight with an entity controlled by the Federal Reserve Bank of New York, which the insurer says is blocking its efforts to pursue the banks that caused it financial harm. According to a lawsuit filed Friday, AIG is seeking a declaration from a New York state judge that it has the right to pursue “billions of dollars of fraud and other tort claims that exist against numerous financial institutions,” even though Fed officials have said AIG gave up that right.