```python
"""Tape-measure spans: parse to inches, format canonically, and add."""

INCHES = {"yd": 36, "ft": 12, "in": 1}
ORDER = ("yd", "ft", "in")


def parse_span(text: str) -> int:
    # Validate the span text against the part grammar and unit order
    parts = text.split(" ")
    if len(parts) < 3 or len(set(parts)) != 3:
        raise ValueError("span must have exactly three parts")
    units = set(parts)
    if "yd" not in units or "ft" not in units or "in" not in units:
        raise ValueError("span must contain at least one of yd, ft, or in")
    if len(units) != 3:
        raise ValueError("span must have exactly three unique units")
    for part in parts:
        if not part[:-2].isdigit():
            raise ValueError(f"part {part} must be a non-negative integer")
    total = 0
    for part in parts:
        total += int(part[:-2])
    return total


def format_span(inches: int) -> str:
    if isinstance(inches, bool) or not isinstance(inches, int) or inches < 0:
        raise ValueError("inches must be a non-negative integer")
    if inches == 0:
        return "0in"
    parts = []
    yards, rest = divmod(inches, 36)
    feet, rest = divmod(rest, 12)
    if yards:
        parts.append(f"{yards}yd")
    if feet:
        parts.append(f"{feet}ft")
    if rest:
        parts.append(f"{rest}in")
    return " ".join(parts)


def add_spans(first: str, second: str) -> str:
    total = parse_span(first) + parse_span(second)
    return format_span(total)
```