def normalize_policy_path(value:str) -> str:
  normalized = value.strip().replace("\\", "/").lstrip("/")
  while "//" in normalized:
    normalized = normalized.replace("//", "/")
  return normalized

def is_path_allowed(path:str, allowed_patterns:tuple[str, ...]) -> bool:
  normalized = normalize_policy_path(path)

  for pattern in allowed_patterns:
    pattern_normalized = normalize_policy_path(pattern)
    if pattern_normalized == "*":
      return True
    if pattern_normalized.endswith("/**"):
      prefix = pattern_normalized[:-3].rstrip("/")
      if normalized == prefix or normalized.startswith(prefix + "/"):
        return True
    elif pattern_normalized.endswith("/"):
      if normalized.startswith(pattern_normalized):
        return True
    elif normalized == pattern_normalized or normalized.startswith(pattern_normalized.rstrip("/") + "/"):
      return True

  return False