Introduce a health checking workflow #320

Job	Run time
mono_repo self validate	18s
analyze_and_format; Dart 3.0.0; PKG: pkgs/firehose; `dart analyze --fatal-infos .`	27s
analyze_and_format; Dart 2.19.0; PKGS: pkgs/corpus, pkgs/dart_flutter_team_lints, pkgs/repo_manag...	36s
analyze_and_format; Dart dev; PKGS: pkgs/corpus, pkgs/dart_flutter_team_lints, pkgs/firehose, pkg...	37s
analyze_and_format; Dart dev; PKGS: pkgs/corpus, pkgs/dart_flutter_team_lints, pkgs/firehose, pkg...	28s
unit_test; Dart 2.19.0; PKG: pkgs/dart_flutter_team_lints; `dart test`	38s
unit_test; Dart 2.19.0; PKG: pkgs/corpus; `dart test`	45s
unit_test; Dart dev; PKG: pkgs/corpus; `dart test`	1m 4s
unit_test; Dart 3.0.0; PKG: pkgs/firehose; `dart test`	29s
unit_test; Dart dev; PKG: pkgs/dart_flutter_team_lints; `dart test`	32s
unit_test; Dart dev; PKG: pkgs/firehose; `dart test`	41s
analyze_format; Dart dev; PKG: pkgs/blast_repo; `dart format --output=none --set-exit-if-changed ...	24s
test; Dart dev; PKG: pkgs/blast_repo; `dart test --test-randomize-ordering-seed=random`	36s
	7m 35s

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