Move imports of API available in `hooks.dart` or `scaffolding.dart` to use those more narrow libraries.

Move imports of APIs from `package:matcher` to import directly. The next major version of `test_api` will remove the exports of `matcher` APIs.

## Description

This PR adds a new channel to query the engine keyboard state.
See https://github.com/flutter/flutter/issues/87391#issuecomment-1228975571 for motivation. 

## Related Issue

Framework side implementation for https://github.com/flutter/flutter/issues/87391.

Once approved the framework will try to query the initial keyboard state from the engine. PRs will be needed on the engine side to answer the framework query.

## Tests

Adds 1 test.

Adds `dart_fix` support to `flutter_test`

Fix surface-size state leak in material/paginated_data_table_test (framework shuffle-all 3/n) (#123842)

Fix surface-size state leak in material/paginated_data_table_test (framework shuffle-all 3/n)

Make Element tree root generic

Remove 1745 decorative breaks

Deprecates `TestWindow`

Assert that runApp is called in the same zone as binding.ensureInitialized

Revert "Assert that runApp is called in the same zone as binding.ensureInitialized (#117113)" (#122830)

Revert "Assert that runApp is called in the same zone as binding.ensureInitialized"

Assert that runApp is called in the same zone as binding.ensureInitialized

Remove last few references to window singleton

Reland (3): Removes single window assumptions from `flutter_test`

Reland "Remove single view assumption from TestViewConfiguration (#122352)"

* Revert "Remove references to BindingBase.window (#122119)"

This reverts commit c7681f00.

* Revert "Remove another reference to BindingBase.window (#122341)"

This reverts commit 6ec44450.

* Revert "Reland (2): Removes single window assumptions from `flutter_test` (#122233)"

This reverts commit eb3d317e.

* Revert "Remove single view assumption from TestViewConfiguration (#122352)"

This reverts commit 927289fb.

* Revert "Updates `flutter/test/cupertino` to no longer use `TestWindow` (#122325)"

This reverts commit 67e17e45.

* Revert "Updates `flutter/test/gestures` to no longer reference `TestWindow` (#122327)"

This reverts commit c2a5111c.

* Revert "Updates `flutter/test/rendering` to no longer use `TestWindow` (#122347)"

This reverts commit 28b65e08.

* Revert "Updates `flutter_localizations/test` to stop using `TestWindow` (#122321)"

This reverts commit 01367d52.

Remove single view assumption from TestViewConfiguration

Reland (2): Removes single window assumptions from `flutter_test`

Revert "Reland: Removes single window assumptions from `flutter_test`"

Reland: Removes single window assumptions from `flutter_test`

This reverts commit f2dd19d5.

Removes single window assumptions from `flutter_test`

Reverts flutter/flutter#114468 by @fzyzcjy

Example failure: https://logs.chromium.org/logs/flutter/buildbucket/cr-buildbucket/8789140722059256001/+/u/run_test.dart_for_tool_integration_tests_shard_and_subshard_1_4/test_stdout

* move _verifyInvariants

* fix

* fix (mimic import test_api.dart)

* fix

* Update binding.dart

* add tests

* try to move

* Revert "try to move"

This reverts commit d3c466d226cc1abe195af83a2630c70f08e25d7d.

* Update binding.dart

Fix bug that`timeDilation` is not reset, causing subsequent test errors, and add verifications to ensure such problem does not exist in the future (#113830)

Revert "`AutomatedTestWidgetsFlutterBinding.pump` provides wrong pump time stamp, probably because of forgetting the precision" (#113415)

`AutomatedTestWidgetsFlutterBinding.pump` provides wrong pump time stamp, probably because of forgetting the precision (#112609)

Export `elapseBlocking` to test binding, so slow sync work can be simulated such as a slow widget build (#112619)

Started handling messages from background isolates.

Explain the "patching" protocol in `KeyMessageManager.keyMessageHandler` and add an example (#105280)

This reverts commit 641f4e24.

* Revert "Reland "Clipping if only one character text overflows (#99146)" (#102130)"

This reverts commit 3f43d9f3.

* Revert "Implement frameData for TestWindow (#105537)"

This reverts commit 21841d7e.