"""Create fallback_executor
Generated by Phi-Octopus Eden
2025-11-07 06:40:43.487254
"""

```python
from typing import Callable, Optional


class FallbackExecutor:
    """
    A class for executing functions with fallback mechanisms.
    
    This class is designed to run a primary function, and if it encounters an error,
    execute a fallback function instead.

    :param primary_func: The main function to be executed.
    :param fallback_func: The function to be executed in case of an exception from the primary function.
    """

    def __init__(self, primary_func: Callable, fallback_func: Optional[Callable] = None):
        self.primary_func = primary_func
        self.fallback_func = fallback_func

    def execute(self) -> Optional[str]:
        """
        Execute the primary function. If an exception occurs, call the fallback function (if provided).

        :return: The result of the execution or a message indicating failure.
        """
        try:
            return self.primary_func()
        except Exception as e:
            if self.fallback_func is not None:
                return self.fallback_func()
            else:
                return f"Primary function failed with error: {str(e)}"

    @classmethod
    def with_fallback(cls, fallback_func: Callable) -> 'FallbackExecutor':
        """
        Create a FallbackExecutor instance with a pre-defined fallback function.

        :param fallback_func: The fallback function.
        :return: A new FallbackExecutor instance.
        """
        return cls(primary_func=None, fallback_func=fallback_func)


def primary_function() -> str:
    """A sample primary function that may fail due to an intentional error."""
    raise ValueError("Primary function failed intentionally")


def fallback_function() -> str:
    """A sample fallback function that provides a workaround when the primary function fails."""
    return "Fallback function executed successfully"


# Example usage
if __name__ == "__main__":
    # Create a FallbackExecutor instance with both functions defined.
    executor = FallbackExecutor(primary_func=primary_function, fallback_func=fallback_function)
    result = executor.execute()
    print(result)  # Should execute fallback function

    # Create a FallbackExecutor instance with only the fallback function defined
    fallback_executor = FallbackExecutor.with_fallback(fallback_func=fallback_function)
    fallback_result = fallback_executor.execute()
    print(fallback_result)  # Should directly use the fallback function as no primary function is provided.
```

This code snippet introduces a `FallbackExecutor` class that handles limited error recovery by providing a way to run a primary function and, if it fails, execute a fallback function. It includes docstrings for clarity and an example usage section to demonstrate how to create instances of the class with both functions or just the fallback.