From the recordings I've heard, it seems to be standard procedure for the JC to ask whether you are recording.
If you don't want to outright lie to the JC, take a recorder out of your pocket and put it on the table at the beginning of the meeting, and say, "I'd like to record the meeting, if you don't mind."
They will of course tell you that is not allowed. After some minor protest, accede to their wishes and shut it off.
Meanwhile, the hidden one is still recording in your pocket.