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I want to ask, is your "any speed" solution resisted to flickering? Lets say if I use 2.27 speed will my character flicker on the screen?

If they do, let me know... because they shouldn't.  There is the possibility of some jittering when sliding across a wall at a speed like 1.25 but that also depends on a lot of factors.  But your character should never "flicker", and if it does it is very unlikely to be my script that is the cause.