The Browse in Bridge option should open Bridge, but opens Creative Cloud instead. Prior to the latest update, it opened Bridge. It's bad UX to click on one thing and to get something else, and then have to click again to get what you originally wanted.
For your information I am running the same Win7 64-bit OS with CC 2019 versions of Br, Lr, and Ps installed. The 'Browse in Bridge' feature in Ps works whether I click on the drop-down menu item or use the shortcut keys Alt+Ctrl+O.
I think I resolved the problem. It turns out that I have more than one version of Bridge installed. When you click Browse in Bridge, Photoshop doesn't know which version is wanted, so it opens Creative Cloud, where you can launch the version desired.