Replace emulator starter #5677

Job	Run time
test / test-flutter-vm (stable, any)	3m 13s
test / test-flutter-vm (stable, 3.35.0)	3m 33s
e2e_web_test / e2e-test-web (stable)	5m 34s
e2e_linux_test / e2e-test-linux (stable)	1h 3m 3s
e2e_android_test / e2e-test-android (35, stable)	20m 14s
e2e_windows_test / e2e-test-windows (stable)	7m 43s
e2e_android_test / e2e-test-android (24, stable)	19m 5s
e2e_ios_test / e2e-test-ios (stable)	4m 57s
	2h 7m 22s

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