That only works if I already have Chrome in the foreground. If I cmd-tab to another app to copy something, and then cmd-tab back to the Hangouts Chrome App to p

That only works if I already have Chrome in the foreground. If I cmd-tab to another app to copy something, and then cmd-tab back to the Hangouts Chrome App to paste it but it actually just shows me my browser window instead. There is no way to swap back and forth between the Hangouts Chrome App like every other app even though it has a dedicated Dock icon.