Run same python code in two terminals, will them interfere each other?

If you are writing the output to the same file in disk, then yes, it will be overwritten. However, it seems that you're actually printing to the stdout and then redirect it to a file. So that is not the case here.

Now answer to your question is simple: there is no interaction between two different executions of the same code. When you execute a program or a script OS will load the code to the memory and execute it and subsequent changes to code has nothing to do with the code that is already running. Technically a program that is running is called a process. Also when you run a code on two different terminals there will be two different processes on the OS one for each of them and there is no way for two process to interfere unless you explicitly do that (IPC or inter-process communication) which you are doing here.

So in summary you can run your code simultaneously on different terminals they will be completely independent.

Each Python interpreter process is independent. How the script reacts to itself being run multiple times depends on the exact code in use, but in general they should not interfere.