Integration test cleanup (#612) #972

Job	Run time
analyze_and_format; Dart 3.2.0; PKGS: googleapis_auth, test_integration; `dart analyze`	38s
mono_repo self validate	30s
analyze_and_format; Dart 3.0.0; PKGS: _test, _test_package, discoveryapis_commons, discoveryapis_...	2m 11s
analyze_and_format; Dart dev; PKGS: _test, _test_package, discoveryapis_commons, discoveryapis_ge...	3m 10s
unittest; Dart 3.0.0; PKG: discoveryapis_generator; `dart test`	48s
unittest; Dart 3.0.0; PKG: discoveryapis_commons; `dart test`	42s
unittest; Dart 3.0.0; PKG: generated/googleapis; `dart test`	2m 46s
unittest; Dart 3.0.0; PKG: _test_package; `dart test`	26s
unittest; Dart 3.0.0; PKG: generated/googleapis_beta; `dart test`	38s
unittest; Dart 3.2.0; PKG: googleapis_auth; `dart test -p chrome`	2m 14s
unittest; Dart 3.2.0; PKG: googleapis_auth; `dart test -p vm`	41s
unittest; Dart dev; PKG: _test_package; `dart test`	34s
unittest; Dart dev; PKG: discoveryapis_commons; `dart test`	25s
unittest; Dart dev; PKG: discoveryapis_generator; `dart test`	39s
unittest; Dart dev; PKG: generated/googleapis; `dart test`	2m 26s
unittest; Dart dev; PKG: generated/googleapis_beta; `dart test`	34s
unittest; Dart dev; PKG: googleapis_auth; `dart test -p vm`	40s
unittest; Dart dev; PKG: googleapis_auth; `dart test -p chrome`	2m 12s
	22m 14s

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