Fixes https://github.com/flutter/flutter/issues/117627

### Behavior changes:
1. If fade in/fade out animation is already in progress, hiding/showing the tooltip will immediately take effect without waiting for `waitDuration`.
2. A PointerDownEvent that doesn't become a part of a "trigger" gesture dismisses the tooltip, even for hovered ones.
3. The OverlayEntry is now updated only when the previous tooltip was completely dismissed. This can be fixed by OverlayPortal but I'm not sure what the correct behavior is.

Rename Sample classes

* use `flutter_lints` for sample code

* update packages

* Revert "update packages"

This reverts commit 14da3c69a8da9a093ad9c2acd3fc5d6c7f7751ed.

* revert

`Tooltip`: Add an example for `TooltipTriggerMode.manual` and add tests for existing `Tooltip` examples (#100554)