def METHOD_NAME(manifest_entry: dict, audio_dir: Path, sup_data_dir: Path) -> Path:
    """
    Get the absolute path of a supplementary data type for the input manifest entry.
    Example: audio_filepath "<audio_dir>/speaker1/audio1.wav" becomes "<sup_data_dir>/speaker1_audio1.pt"
    Args:
        manifest_entry: Manifest entry dictionary.
        audio_dir: base directory where audio is stored.
        sup_data_dir: base directory where supplementary data is stored.
    Returns:
        Path to the supplementary data file.
    """
    audio_path = Path(manifest_entry["audio_filepath"])
    rel_audio_path = audio_path.relative_to(audio_dir)
    rel_sup_data_path = rel_audio_path.with_suffix(".pt")
    sup_data_filename = str(rel_sup_data_path).replace(os.sep, "_")
    sup_data_filepath = sup_data_dir / sup_data_filename
    return sup_data_filepath