My t6 bit got stuck

I had almost the exact same issue with my recent tear down, those are VERY recessed.

I was able to pull mine out with my side cutters as the bit was just long enough to grip in my case.

Looks like you may need to Dremel beside the bit a little so you can get a grip on the bit with something like I did.

It is mostly hollow void behind the back of the controller and the chutes the screws go into aren’t touching anything until you reach their full depth.