Async Context Manager Lifecycle

Implement a function `AsyncResourceLifecycle(name)` that simulates an async context manager lifecycle. The function should internally define a class `AsyncResource` that behaves as an asynchronous context manager. The class should have an `__init__` method that takes a `name` parameter and stores it as an instance attribute. When entering the context (via `async with`), the class should set an attribute `entered` to `True` and return `self`. When exiting the context, it should set `entered` to `False`. The exit method should be `async` and accept the standard exception parameters. The class should also have a method `status()` that returns a string in the format `'{name}: entered={entered}'`, using the `name` attribute and the current `entered` value. The function `AsyncResourceLifecycle` should run an async scenario that creates a resource with the given `name`, enters the context, calls `status()` inside, and returns that `status()` string (which should show `entered=True`). The async scenario should be run using `asyncio.run`. For example, `AsyncResourceLifecycle('db')` should return `'db: entered=True'`. Ensure `__aenter__` is async and returns the resource instance (`self`).

```python
>>> AsyncResourceLifecycle('db')
'db: entered=True'
>>> AsyncResourceLifecycle('file')
'file: entered=True'
```