### Summary

If you run `ANSIBLE_LOG_PATH=test ansible localhost -m setup`, `test` is now an empty file. Before #81692 got merged, it contained log output like
```
023-11-16 08:01:52,262 p=313108 u=felix n=ansible | [WARNING]: You are running the development version of Ansible. You should only run Ansible from "devel" if you are modifying the Ansible engine, or trying out features under development.
This is a rapidly changing source of code and can become unstable at any point.

2023-11-16 08:01:52,383 p=313108 u=felix n=ansible | [WARNING]: No inventory was parsed, only implicit localhost is available

2023-11-16 08:01:53,511 p=313108 u=felix n=ansible | localhost | SUCCESS => {
    "ansible_facts": {
...
```

### Issue Type

Bug Report

### Component Name

logging

### Ansible Version

```console
latest devel branch
```


### Configuration

```console
-
```


### OS / Environment

-

### Steps to Reproduce

Run `ANSIBLE_LOG_PATH=test ansible localhost -m setup`

### Expected Results

File `test` contains log output.

### Actual Results

```console
File `test` is empty.
```


### Code of Conduct

- [X] I agree to follow the Ansible Code of Conduct
@wraps(f)
        def locking_wrapper(*args, **kwargs):
            with lock:
                return f(*args, **kwargs)
        return locking_wrapper
    buffer = tio.buffer
    
    buffer.write = _wrap_with_lock(buffer.write, lock)  
    buffer.flush = _wrap_with_lock(buffer.flush, lock)  
def setraw(fd: int, when: int = termios.TCSAFLUSH) -> None:
    """Put terminal into a raw mode.
    Copied from ``tty`` from CPython 3.11.0, and modified to not remove OPOST from OFLAG
    OPOST is kept to prevent an issue with multi line prompts from being corrupted now that display
    is proxied via the queue from forks. The problem is a race condition, in that we proxy the display
    over the fork, but before it can be displayed, this plugin will have continued executing, potentially
    setting stdout and stdin to raw which remove output post processing that commonly converts NL to CRLF
    """
    mode = termios.tcgetattr(fd)
    mode[tty.IFLAG] = mode[tty.IFLAG] & ~(termios.BRKINT | termios.ICRNL | termios.INPCK | termios.ISTRIP | termios.IXON)
    mode[tty.OFLAG] = mode[tty.OFLAG] & ~(termios.OPOST)
    mode[tty.CFLAG] = mode[tty.CFLAG] & ~(termios.CSIZE | termios.PARENB)
    mode[tty.CFLAG] = mode[tty.CFLAG] | termios.CS8
    mode[tty.LFLAG] = mode[tty.LFLAG] & ~(termios.ECHO | termios.ICANON | termios.IEXTEN | termios.ISIG)
    mode[tty.CC][termios.VMIN] = 1
    mode[tty.CC][termios.VTIME] = 0
    termios.tcsetattr(fd, when, mode)
def clear_line(stdout: t.BinaryIO) -> None: