Unless you specify otherwise, subprocess with shell=True runs sh, not Bash. If you want to use Bash features, you have to say so explicitly.
path_of_file = 'path_of_file.txt'
command = 'python3 Execute.py <<< {}'.format(path_of_file)
subprocess.run(command, shell=True, executable='/bin/bash')
But of course, a much better fix is to avoid the Bashism, and actually the shell=True entirely.
from shlex import split as shplit
path_of_file = 'path_of_file.txt'
command = 'python3 Execute.py'
subprocess.run(command.shplit(), input=path_of_file, text=True)
Best practice would dictate that you should also add check=True to the subprocess keyword arguments to have Python raise an exception if the subprocess fails.
Better still, don't run Python as a subprocess of Python; instead, import Execute and take it from there.
Maybe see also