Introduce KeyboardStateManager to maintain keyboardstate as show or hide.

- Add a feature flag for IME Latency logging.

- Removed mShowImeAfterFirstLayout from ExtendedEditText.

   http://ag/1414509 added `mShowImeAfterFirstLayout`and cl description
   says "Show IME when search query != null after rotation".

   I verified the behavior by turning on "Allow home screen rotation".
   Keyboard is not getting dismissed on rotation in AA+ screen in a-z list
   or even in the search screen.
   Video : https://drive.google.com/file/d/1BWUTrW9OSEo6ojErj8INMwjFCPArVD4B/view?usp=sharing&resourcekey=0-SXTcKyUw1wCSi8Bm37ktow

Bug: 240192346
Test: Manual.

Verified by setting `ENABLE_KEYBOARD_TRANSITION_SYNC` to false and for
following usecases.

- All apps entry with ime enabled, scrolling a-z list to hide keyboard
- Folder name change - showing and dismissing keyboard
- Toast entry from Allapps and QSB - showing and dismissing keyboard

Change-Id: I1a6b5759b8e71e77744f58677b6d1b73e2f633e8