The program is blocked for unknown reasons, causing other protocols to fail to run

### Describe the bug

Perform write operations, block all coroutines, happen occasionally, it seems that adding a timeout should work, but no parameters related to read_timeout and write_timeout can be found

### To Reproduce

can't reproduce in fixed mode

### Expected behavior

Execution timeout or Exception， does not affect other normal operations

### Logs/tracebacks

```python-traceback
bolck ，Nothing at all
```

### Python Version

```console
Python 3.10.9
```

### aiomysql Version

```console
Name: aiomysql
Version: 0.1.1
Summary: MySQL driver for asyncio.
Home-page: https://github.com/aio-libs/aiomysql
Author: Nikolay Novik
Author-email: nickolainovik@gmail.com
License: MIT
```

### PyMySQL Version

```console
Name: PyMySQL
Version: 1.0.2
Summary: Pure Python MySQL Driver
Home-page: https://github.com/PyMySQL/PyMySQL/
Author: yutaka.matsubara
Author-email: yutaka.matsubara@gmail.com
License: "MIT"
```

### SQLAlchemy Version

```console
Name: SQLAlchemy
Version: 1.4.46
Summary: Database Abstraction Library
Home-page: https://www.sqlalchemy.org
Author: Mike Bayer
Author-email: mike_mp@zzzcomputing.com
License: MIT
Location: /usr/
```

### OS

ubuntu

### Database type and version

```console
SELECT VERSION();
```

### Additional context

_No response_

### Code of Conduct

- [X] I agree to follow the aio-libs Code of Conduct