Full screen composition mode issue on two screens

Hello. My current Scrivener workflow involves using two projects open simultaneously on two screens - a project for my thesis manuscript on my main screen, and a project for my research notes on the secondary screen. When I enter full screen composition mode on my main screen (the thesis manuscript one), my secondary screen remains in default writing mode, which is how I want it, but this only works until I click anywhere on that same secondary screen - at this point, my main screen goes back to default writing mode as well. Any suggestions for how I could work around this, aside from hiding the binder and inspector on my main screen?

Thanks in advance.

Update for anyone facing the same issue: I was able to resolve this in the following way: Preferences > Composition Mode > Make sure ‘Open Composition Mode in Its Own Space’ is ticked.