YOLO.
No, seriously.
Push hard during these next 6 weeks, and if you fail, well, whatever.
Getting denied is just as bad as giving up (since when you give up, you aren't getting in anywhere).
In 6 weeks, the time you spent studying would be considered as a sunk cost anyway; I have learned not to care about sink costs too much.
Point is, study hard, get in or not get in, at least you tried and you can say "yeah, I tried at one point, now I don't have to wonder."
It is never time to quit, once you start something you should finish it, even if it is not looking good.
Plus, 6 weeks is a good amount of time, you can change things a lot in 6 weeks.
Best of luck, and don't give up