What are the powers a Parliamentary Assembly at the United Nations could be vested with?

A Parliamentary Assembly in principle could be vested with all rights and powers with which the United Nations General Assembly is equipped. In the case of an amendment of the UN Charter rights and powers could be enshrined that go beyond that. Initially an assembly could be equipped with a largely consultative role that would develop over time to include genuine rights of information, participation and oversight with a view of developing into a main organ that complements the UN General Assembly.