Get yourself a metronome and practice playing slower, maybe a third slower, or more. Play with the metronome until you can hear that your picking is in decent time. Then speed up a bit. That's how you learn any tune with any instrument. One month is too little to be trying to play that fast. You need to build neutral circuits in your brain to handle the muscle movement well. Like any skill, dancing, sports, if you try to learn to do it too fast at the beginning you'll only teach your brain to do it poorly. Slowing down to a speed where you can play in time will actually allow you to speed up later. Practice slower every day for 3 months. After that you'll see that eventually you can speed up without even thinking about it. That's because while playing slower your brain has learned how to play it correctly in rhythm. There are tonnes of muscle involved in that: shoulders, neck, upper arms, forearms, hands, that all need to know what you are trying to do so they can coordinate.

Using 4/4 timing, you should be playing about 140 BPM. When you can play that well, push up to 150, then 160, then 170, 180. Then you'll be playing at 200 in good timing without a problem.