Re-submit the changes to enable windows pre-push checks.

This patch changes how `ci/bin/format.dart` generate diffs from `diff` and `patch` commands to `git diff` and `git apply` in order to have a common method for these operations on all platforms. Windows installations don't have diff and patch commands available by default and many implementations which provide such commands work differently than the UN*X tools. Git however works consistently across all platforms.

Additionally, this patch also changes the python executable in some of the pre-push components affected by this to `vpython3` to continue the effort started at flutter/flutter#108474 and I also removed the `--no-sound-null-safety` parameter in the ci/format.sh, ci/format.bat files

NOTE: Since the original patch caused some issues, I suggest that this should be tested more carefully before it is merged.

### Issues fixed by this PR
* flutter/flutter#108122
* flutter/flutter#107920
* flutter/flutter#86506
* flutter/flutter#106615

### [flutter/tests] repo impact
None.

writing and running engine tests.

[C++, Objective-C, Java style guides]: https://github.com/flutter/engine/blob/main/CONTRIBUTING.md#style