Integration test cleanup #971

Job	Run time
mono_repo self validate	35s
analyze_and_format; Dart 3.0.0; PKGS: _test, _test_package, discoveryapis_commons, discoveryapis_...	2m 43s
analyze_and_format; Dart 3.2.0; PKGS: googleapis_auth, test_integration; `dart analyze`	45s
analyze_and_format; Dart dev; PKGS: _test, _test_package, discoveryapis_commons, discoveryapis_ge...	3m 33s
unittest; Dart 3.0.0; PKG: discoveryapis_generator; `dart test`	47s
unittest; Dart 3.0.0; PKG: discoveryapis_commons; `dart test`	44s
unittest; Dart 3.0.0; PKG: _test_package; `dart test`	41s
unittest; Dart 3.0.0; PKG: generated/googleapis; `dart test`	2m 56s
unittest; Dart 3.0.0; PKG: generated/googleapis_beta; `dart test`	49s
unittest; Dart 3.2.0; PKG: googleapis_auth; `dart test -p chrome`	2m 49s
unittest; Dart 3.2.0; PKG: googleapis_auth; `dart test -p vm`	44s
unittest; Dart dev; PKG: _test_package; `dart test`	24s
unittest; Dart dev; PKG: discoveryapis_commons; `dart test`	25s
unittest; Dart dev; PKG: discoveryapis_generator; `dart test`	28s
unittest; Dart dev; PKG: generated/googleapis; `dart test`	2m 25s
unittest; Dart dev; PKG: generated/googleapis_beta; `dart test`	45s
unittest; Dart dev; PKG: googleapis_auth; `dart test -p vm`	38s
unittest; Dart dev; PKG: googleapis_auth; `dart test -p chrome`	2m 36s
	24m 47s

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