How to write a system test for an CLI python application with an interactive dialogue using pytest?

I have a small python 3 CLI application for which I want to write system tests. Part of this application involves an interactive dialog. How can I simulate the user interaction in pytest? Here is a sketch of what I mean below:

app.py

if __name__ == '__main__':
    name = input("What is your name? ")
    user_id = input("What is your user id? ")

    if user_id == "1":
        print(f"hello {name}, you are user 1")
    else:
        raise ValueError("user id isn't valid!")

I want the test to look something like the following:

test_app.py

import os

def test_example_inputs(capsys):
    # run command with inputs "asdf" and "1"
    exit_status = os.system("python app.py")

    captured = capsys.readouterr()
    
    assert exit_status == 0
    assert captured.out == "hello asdf, you are user 1"

But this test has nothing to read from stdin, so I get an error EOFError: EOF when reading a line. I understand that I could write a unit test and write a mock for input, but I would prefer to write a system test if possible.