I occasionally open tmux on a remote machine from within a local tmux. Using c-bb to get to the nested one doesn't seem that bad to me as long as it's only 2-d

I occasionally open tmux on a remote machine from within a local tmux. Using c-bb to get to the nested one doesn't seem that bad to me as long as it's only 2-deep. But why not just change the escape key on each machine's .tmux.conf?