In the legacy VS Code DAP, we would deserialise the Flutter.Error event
and provide some basic colouring (eg. stack frames are faded if not from
user code and the text is split between stdout/stderr to allow the
client to colour it).

In the new DAPs we originally used `renderedErrorText` which didn't
support either of these. This change adds changes to use the structured
data (with some basic parsing because the source classes are in
package:flutter and not accessible here) to provide a similar
experience.

It would be nicer if we could use the real underlying Flutter classes
for this deserialisation, but extracting them from `package:flutter` and
removing all dependencies on Flutter is a much larger job and I don't
think should hold up providing improved error formatting for the new
DAPs.

Some comparisons:


![1_comparison](https://github.com/flutter/flutter/assets/1078012/74e7e6d6-c8d0-471f-b584-37ae148b0ce7)


![2_comparison](https://github.com/flutter/flutter/assets/1078012/21888934-6f2f-4048-86d7-bdf92d5c7301)

This change is for an internal IDE client to send a custom hot reload
request, as custom requests from the client must start with `$/`.

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we expect every widget to implement].
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- [x] I listed at least one issue that this PR fixes in the description
above. (this PR is linked internally)
- [x] I updated/added relevant documentation (doc comments with `///`).
- [x] I added new tests to check the change I am making, or this PR is
[test-exempt].
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The fix is coming as part of https://dart-review.git.corp.google.com/c/sdk/+/306908 dart sdk roll as well as https://github.com/flutter/flutter/pull/128084.

BUG=https://github.com/dart-lang/sdk/issues/52522

Sometimes when the integration tests run Flutter apps they get this output (perhaps based on timing of file modification times). Some of the tests want to verify strict output but not fail just based on these lines before the app starts.

See https://github.com/flutter/flutter/issues/120015 / https://github.com/flutter/flutter/pull/120016.

* wip run_local_linter.dart

* get run_local_linter.dart working

* slow working implementation

* speed up run_local_linter.dart

* fix run_local_linter.dart

* remove catchError

* another fix

* fix another

* fix

* more fixes

* fix moar

* fix moar

* fix

* finish

* fix tests

* clean up further

* code review

* delete run_local_linter.dart

* Support logging 'flutter run' communication to DAP clients

Fixes https://github.com/Dart-Code/Dart-Code/issues/4266.

* Fix test

Provide more useful error message if a non-compliant DAP tool (or user) sends bad input to DAP server (#107827)

* Add support for attachRequest in DAP, which runs "flutter attach"

* Update DAP docs for attachRequest

* Improve doc comments

* Fix comments

* Remove noDebug from attach + create a getter for `debug`

* Fix indent

Fixes #97238.

* Add support for running tests through debug-adapter

* Improve comments about stdout + remove pedantic