Test: Chore/deprecate infra #5938

Job	Run time
test / test-flutter-vm (stable, any)	3m 5s
test / test-flutter-vm (stable, 3.35.0)	3m 16s
e2e_ios_test / e2e-test-ios (stable)	5m 3s
e2e_windows_test / e2e-test-windows (stable)	1h 10m 10s
e2e_linux_test / e2e-test-linux (stable)	1h 5m 13s
e2e_android_test / e2e-test-android (35, stable)	16m 36s
e2e_android_test / e2e-test-android (24, stable)	12m 53s
e2e_web_test / e2e-test-web (stable)	8m 12s
	3h 4m 28s

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