1. The platform code to show the keyboard wasn't working on certain
devices. From my testing it appears to be related to when the code was
firing. IMM won't show the soft input (or shows and then immediately
hides it, it's hard to tell) if it's called before the Flutter UI is
loaded. Change this to instead show the soft keyboard after a message
from Flutter that main() has been started.

2. A text field was visible in the UI, and the test was run under a
fuzzer that random tapped portions of the screen. Remove the text field
so that the fuzzer can't accidentally open the keyboard on its own at a
random time.

3. The keyboard was left open even after the app was closed. Also toggle
the input off when the app was closed, so that this test can be ran
multiple times in succession relatively hermetically.