the TV camera itself is worth that
Pretty nifty sound board too, IIRC.
I found no values for any part of the structure. My price guess is all decked out. If it is just a studio that is 2 stories to allow more light in, I could build it for $40K. For all I know and what will make sense is the folks at FOX loaned a camera to her for these operations.
I did find that a decent Panasonic TV station quality camera is under $20K. Dishes to send out the feed are cheap. The rest of the editing and studio work would be done at FOX.