```python
def flag_state(mask: int, catalog:    if not isinstance(mask, int)        raise ValueError("Mask must be a non-negative integer.")
    if mask <        raise ValueError("Mask cannot be negative.")

    if not isinstance(catalog), list):
        raise ValueError("Catalog must be a list.")
    if len(catalog) == 0:
        raise ValueError("Catalog must contain at least one name.")

    for name in catalog:
        if not isinstance(name, str):
            raise ValueError("Flag name must be a non-empty string.")
        if len(name) ==            raise ValueError("Flag name must be a non.")
        if catalog.count(name) > 1:
            raise ValueError("Duplicate flag name found.")

        if int(name) >= len(catalog):
            raise ValueError("Bit index beyond catalog length found.")

        if mask & (1 << int(name)):
            catalog[int(name)] =        else:
            catalog[int(name)] = False

```