Firstly as a disclaimer I'm not a DAO or qualified eyesight specialist of any sort. Just done a bit of casual reading into the issue.
From what it sounds like you are either stereo-blind or functionally monocular. For what it's worth, these are from the DAME handbook (old edition, but lots of information is still the same now... not sure about your issue specifically)
Did you ever have a lazy eye growing up?
It's hard to say without having actual hard data regarding what your individual refraction is in each eye as well as your depth perception levels are.
Really I'd be focusing on that flight-test and hopefully you will pass it without any issues. It always sucks having these issues out of your control as a hurdle preventing you from what you want to do as a career. However, emphasis on them being a hurdle. Sometimes they can be overcome, so keep persisting mate.