Clicking the left mouse button at the exact time in Python

I recently received a task: Task a program in which the customer specified the exact time, for example 8:00:00:0.001, exactly down to fractions of seconds, so that at the moment of this specified time the LMB would work, synchronizing the time with world time. As I understand it, it is impossible to make an exact time due to various problems such as problems with the Internet, problems with the site, the user’s hardware, etc. But if anyone knows a way to do this, can you please write? Also what libraries are best for this, would pyAutoGui be ok? Also, if you have similar programs, please share them