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Open the document in Adobe Reader. Execute the menu Window > New Window.
Make a copy of the document. Call it "mydoc-B.pdf" Then open it.
I know how annoying it gets when software tries to be creative for you. If I double click on the same document twice, open another heavy weight process and display the document again.
Same question as OP, this worked for me. Thanks
As an addition to this I add you can drag end drop pane to the original window (so you have the same document in panes not in windows)