My guess is that the cobra brake light is not adjusted correctly hence too tight. It is fixed in position by 4 wood screws through elongated slots, so its height can be altered once the spare is removed.
If you have removed the rack and pulled out the centre T bolt, try pulling the tire down & lifting the bottom 6 o’clock position. You should then be able to lift out the spare by moving it further downward and out.
Good luck.