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<@ULVA73B9P> Can I use the `overload` decorator in combination with the `task` or `flow` decorators on a single function?

As an example, is the following allowed?
```@overload
@task()
def foo(x: int) -> None: ...

@overload
@task()
def foo(x: str) -> None: ...

@overload
def foo(x: int | str) -> None: ...```

Yes, you can use the `overload` decorator in combination with Prefect's `task` or `flow` decorators. The `overload` decorator is typically used to define multiple function signatures for a single function, which can be helpful in situations where you want to provide type hints for different usage patterns.

For instance, the `FlowDecorator` and `TaskRunner` classes in Prefect's codebase utilize the `overload` decorator to define multiple signatures for their methods. This allows you to define various configurations or parameter types for your tasks and flows.

Here's a link to the relevant Prefect code for further exploration: <https://github.com/PrefectHQ/prefect/tree/main/src/prefect/flows.py|FlowDecorator>.

In summary, you can use the `overload` decorator with Prefect decorators, and it can be particularly useful if you're working with different parameter types or configurations in your flows and tasks.

Using the `overload` decorator in combination with the `task` or `flow` decorators on a single function, as shown in your example, is not directly supported by Python's type system or Prefect. The `overload` decorator is intended for use with function stubs in type hinting, and it doesn't work as expected when combined with actual function implementations.

Here's why it won't work as intended:

1. *`overload` Usage*: The `overload` decorator is used in type hinting to define multiple signatures for a function without providing an implementation. Only one function with the actual implementation should exist, and it should not be decorated with `overload`.

2. *Prefect Decorators*: Prefect's `task` and `flow` decorators are meant to wrap actual function implementations to facilitate task and flow creation. They expect a concrete function to decorate, not a type hint.

If you want to handle different input types in a Prefect task, consider using a single implementation with type checking within the function body, rather than using `overload`. Here's an example:

```python
from prefect import task

@task
def foo(x):
    if isinstance(x, int):
        # Handle int case
        pass
    elif isinstance(x, str):
        # Handle str case
        pass
```

For more details on the `task` decorator, you can refer to the Prefect documentation: <https://docs.prefect.io/api/latest/task_decorator.html|Prefect Task Decorator>.