Hide status bar and navigation bar on keyboard input?

I am shown the status bar and navigation bar when the keyboard is shown. And after keyboard is closed, the navigation bar and status bar is still visible until I restart the app.

Is it possible to completely disable the status and navigation bar, even when the keyboard is visible?

If not, is it possible to have it automatically hidden after keyboard closes?

Start by reviewing the Android and Flutter integration areas of the plugin and reproduce the issue with the keyboard open and after it closes. Confirm whether the status and navigation bars remain visible, then determine whether the expected behavior can be maintained during keyboard input and restored afterward.

Written by the indexing model from the issue text.