There are many people who have done it in 4 months,even less than 4 . It depends on you brother. Do smart work. Do every topic smartly. Study from most relevant sources. Try to focus on important aspects of paper. The things that you have written in your post are more than enough to pass exams. And this thing that work day and night. Well by doing this you can convert 4 months into 8 or maybe 6. Normally people study for 6 to 8 hours in a day. If you are able to do 12 then it will be awesome in this regard.
You can search tips and experience sharing section of forum. There are many CSPs who did it in this much time span. There is a post of topper lala. She did it in 4 months. So if they can do it then you can too. Stay focussed.
Best of luck.
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''Sufficient for us is Allah , and He is the best Disposer of affairs" Al-Quran
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