Fix user busy status not being reflected in then new user menu

What does this MR do and why?

Fixes the issue described in #393911 (closed) when user busy status is not reflected in the modal. Note, that the bug happened only when user set themselves as busy but not updated other fields - message and emoji.

How to set up and validate locally

Prepare

1. Enable the feature flag:

echo "Feature.enable(:super_sidebar_nav)" | rails c

2. Enable the user setting from the user dropdown:

3. The super sidebar should now appear on every page.
4. Open the user menu and try updating busy checkbox without updating anythign else in the modal. Make sure that the change is reflected when you edit the status

Related to #393911 (closed)