The Android version of the keyboard now has a shared clipboard with Windows. In order for this feature to be activated for you, you need to update the SwiftKey app to version 188.8.131.52.
It should be understood that the innovation is not activated by default. But this is done quite simply: you just need to select the Rich Input item in the application. Then you need to enable the option “Synchronize clipboard with the cloud” in the “Clipboard” menu. Then SwiftKey will offer to log in or create a Microsoft account.
As for the “manipulations” on Windows, here you need to open the “Settings” application and go to the “System” menu. There you will have to select “Clipboard”, then activate the “Clipboard history” and “Synchronization between devices” switches.