Moving between panes doesn't work

[upman]

ctrl-k ctrl-(direction) doesn't work when the terminal tab is in focus.
Moving around panes becomes harder this way.

Registering a keybinding with 'body' as selector with commands like window:focus-pane-on-left seems to work partially. But pastes into other buffers after using this keybinding appear on the terminal tab as well.

I think there's a need for a command to unfocus the terminal tab.