How to run an ssh script such that it keeps executing through disconnects?

Question

I want to run a Python script which calls remote commands over ssh.

I want some of the commands to continue even if the script or the connection dies.

Not a duplicate of this, which is the opposite.

My current code, which occasionally disconnects, is

import paramiko 


def run_copy_script(sh_script_path):
    assert os.path.isfile(sh_script_path)

    script_stdout_log_path = os.path.splitext(sh_script_path)[0]

    client = paramiko.SSHClient()
    client.set_missing_host_key_policy(paramiko.AutoAddPolicy())
    # transport = client.get_transport()  
    # transport.set_keepalive(30)#causes an error
    try:
        client.connect(hostname="my_host", username="my_user", password="my_pass")
    except Exception as e:
        print(f"[!] Cannot connect to the SSH Server:. ERROR: {e}")
        exit()

   
    command = f"echo running {sh_script_path} && {sh_script_path} > >(tee -a stdout.log) 2> >(tee -a stderr.log >&2)"

    stdin, stdout, stderr = client.exec_command(command)

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Note: I am not looking for commands through shell.

I am aware things like nohup are possible, but am looking to remain inside Python.