```python
def format_bits(value: int, width: int) -> str:
    if not isinstance(value, int) or value < 0:
        raise ValueError("value must be a non-negative integer")
    if not isinstance(width, int) or width <= 0 or width % 4 != 0 or width > 32:
        raise ValueError("width must be a positive multiple of four that does not exceed 32")
    if value >= (1 << width):
        raise ValueError("value does not fit in the specified width")

    binary_str = f"{value:0{width}b}"
    return " ".join(binary_str[i:i+4] for i in range(0, width, 4))
```