Average outgoing quality under a two-stage acceptance sampling plan

The following sampling plan is applied: select two items and inspect both; if both are good, accept the lot; if both are defective, reject the lot; otherwise, select one more item and accept the lot if and only if this item is good. If the incoming lot quality is 0.8 (i.e.
proportion good $=0.8$), the average outgoing quality (AOQ) is equal to: