Thinking about all that, I rewatched 'Duck Soup.'

Literal

That-kind-of thing [object-を] thinking-while 'I [topic-は] duck am' [object-を] re-watched.

『我輩はカモである』 is the Japanese title of the Marx Brothers' Duck Soup (1933), cleverly echoing Natsume Soseki's novel 吾輩は猫である (I Am a Cat, 1905). カモ means both 'duck' and, in slang, 'sucker/easy mark.' ~ながら marks simultaneous actions. 再見 is a somewhat formal compound for 're-watching.'