_This is the same pull request as https://github.com/flutter/engine/pull/50898. GitHub broke on the previous pull request so I re-created it_
This moves the logic to handle `flutter/accessibility` messages to a new type, `AccessibilityPlugin`.
Notable changes:
1. Windows app no longer crashes if it receives accessibility events it does not support
2. Windows app no longer crashes if it receives accessibility events while in headless mode
@yaakovschectman After playing around with this, I ended up using a different pattern than what what I suggested on https://github.com/flutter/engine/pull/50598#discussion_r1488728089. This message handler is simple enough that splitting into a child/base types felt like unnecessary boilerplate. The key thing is separating messaging and implementation logic, which was achieved through the `SetUp` method. Let me know what you think, and sorry for all my flip-flopping on this topic! ð
This is preparation for: https://github.com/flutter/flutter/issues/143765
Sample app for manual testing: https://github.com/flutter/flutter/issues/113059
[C++, Objective-C, Java style guides]: https://github.com/flutter/engine/blob/main/CONTRIBUTING.md#style