If you should ever agree to a request by ANY federal agency for an interview, require that the interview take place at your lawyers office and give yourself about a week.
Then at the entrances of the building, put up those building is being video monitored signs. In the conference room, set up video recording from a couple of different angles. Make sure that the recording is working and is a legal record of the interview.
Prior to the meeting starting (say a min) start the recording. Inform the FBI that you will be taking notes for your record and ask the FBI agents to identify themselves and in return, identify yourself by providing picture id (Drivers License) and have your lawyer do the same. The order of who identifies is not important. What is important is that everyone provides picture id.
Do not tell the agents you are recording unless state laws require you to do so! If state laws do require you to notify the other party, inform them AFTER everyone has identified themselves. Further, get them to either agree to continue or have THEM stop the interview.
Doesn’t stop them from changing you with lying if they have a witness who disputes your (taped) story and your tape just gave them more “evidence.”